@article{KuznetsovLM-2016-arXiv, author = {{Kuznetsov}, N.~V. and {Leonov}, G.~A. and {Mokaev}, T.~N.}, title = "{The Lyapunov dimension and its computation for self-excited and hidden attractors in the {G}lukhovsky-{D}olzhansky fluid convection model}", journal = {ArXiv e-prints}, archivePrefix = "arXiv", eprint = {1509.09161v2}, primaryClass = "nlin.CD", keywords = {Nonlinear Sciences - Chaotic Dynamics}, year = "2016", month = nov, note = {\url{https://arxiv.org/abs/1509.09161v2}} } @article{BianchiKLYY-2016, title = "Hidden oscillations in {SPICE} simulation of two-phase {C}ostas loop with non-linear {VCO} ", journal = "IFAC-PapersOnLine ", volume = "49", number = "14", pages = "45-50", year = "2016", doi = "10.1016/j.ifacol.2016.07.973", author = "G. Bianchi and N.V. Kuznetsov and G.A. Leonov and S.M. Seledzhi and M.V. Yuldashev and R.V. Yuldashev", } @article{BestKLYY-2016, title={Tutorial on dynamic analysis of the {C}ostas loop}, author={Best, R.E. and Kuznetsov, N.V. and Leonov, G.A. and Yuldashev, M.V. and Yuldashev, R.V.}, journal={Annual Reviews in Control}, year={2016}, doi = {10.1016/j.arcontrol.2016.08.003}, } @misc{Kuznetsov-2016-HabTh, author = "Kuznetsov, N. V.", title = "Analytical-numerical methods for the study of hidden oscillations (in Russian)", year= "2016", note = "Habilitation Thesis" } @Article{LeonovKYY-2016-DAN, author="Leonov, G.A. and Kuznetsov, N.V. and Yuldashev, M.V. and Yuldashev, R.V.", title="Computation of the phase detector characteristic of a {QPSK} {C}ostas loop", journal="Doklady Mathematics", year="2016", volume="93", number="3", pages="348--353", doi="10.1134/S1064562416030236" } @article{KuznetsovLMS-2016-INCAAM, title={Hidden attractor in the {R}abinovich system, {C}hua circuits and {PLL}}, author={Kuznetsov, N.V. and Leonov, G.A. and Mokaev, T.N. and Seledzhi, S.M.}, journal={AIP Conference Proceedings}, volume={1738}, number={1}, note = "art. num. 210008", year={2016} } @article{DudkowskiJKKLP-2016, author="Dudkowski, D. and Jafari, S. and Kapitaniak, T. and Kuznetsov, N.V. and Leonov, G.A. and Prasad, A.", title="Hidden Attractors in Dynamical Systems", year="2016", journal="Physics Reports", volume = "637", pages = "1-50", doi = "10.1016/j.physrep.2016.05.002", } @article{KiselevaKL-2016-IFAC, author="Kiseleva, M.A. and Kuznetsov, N.V. and Leonov, G.A.", title="Hidden attractors in electromechanical systems with and without equilibria", journal = "IFAC-PapersOnLine", volume = "49", number = "14", pages = "51-55", year = "2016", doi = "10.1016/j.ifacol.2016.07.975" } @article{Kuznetsov-2016-PLA, author="Kuznetsov, N.V.", year="2016", journal="Physics Letters A", title="The {L}yapunov dimension and its estimation via the {L}eonov method", volume= "380", number= "25--26", pages = "2142--2149", doi = "10.1016/j.physleta.2016.04.036" } @article{LeonovKKK-2016-CNSCS, author="Leonov, G.A. and Kuznetsov, N.V. and Korzhemanova, N.A. and Kusakin, D.V.", year="2016", journal="Communications in Nonlinear Science and Numerical Simulation", title="{L}yapunov dimension formula for the global attractor of the {L}orenz system", volume= "41", pages = "84-103", doi = "10.1016/j.cnsns.2016.04.032" } @article{KuznetsovL-2016-ArXiv, author="Kuznetsov, N.V. and Leonov, G.A.", year="2016", journal="arXiv", title="A short survey on {L}yapunov dimension for finite dimensional dynamical systems in {E}uclidean space", note="http://arxiv.org/pdf/1510.03835v2.pdf", } @article{KuznetsovAL-2016, author="Kuznetsov, N.V. and Alexeeva, T.A. and Leonov, G.A.", year="2016", journal="Nonlinear Dynamics", volume="85", number = "1", title="Invariance of {L}yapunov exponents and {L}yapunov dimension for regular and irregular linearizations", doi="10.1007/s11071-016-2678-4", pages = "195-201", } @article{Kuznetsov-2016, author = "Kuznetsov, N.V.", journal = "Lecture Notes in Electrical Engineering", title = "Hidden attractors in fundamental problems and engineering models. {A} short survey.", volume = "371", year = "2016", pages = "13-25", doi="10.1007/978-3-319-27247-4\_2", note="(Plenary lecture at AETA 2015: Recent Advances in Electrical Engineering and Related Sciences)" } @article{LeonovKM-2015-ArXiv, author="Leonov, G.A. and Kuznetsov, N.V. and Mokaev, T.N.", year="2015", journal="arXiv:1509.09161", title="The {L}yapunov dimension formula of self-excited and hidden attractors in the {G}lukhovsky-{D}olzhansky system", note="http://arxiv.org/pdf/1509.09161v1.pdf", } @article{LeonovKKK-2015-arXiv-YangTigan, author="Leonov, G.A. and Kuznetsov, N.V. and Korzhemanova, N.A. and Kusakin, D.V.", year="2015", journal="arXiv:1510.01492v1", title="{L}yapunov dimension formula of attractors in the {T}igan and {Y}ang systems", volume="http://arxiv.org/pdf/1510.01492v1.pdf", } @article{DancaFKC-2016-IJBC, author = "Danca, M.-F. and Feckan, M. and Kuznetsov, N. and Chen, G.", title = "Looking more closely at the {R}abinovich-{F}abrikant system", journal = "International Journal of Bifurcation and Chaos", year = "2016", volume = "26", number = "02", note = "art. num. 1650038", doi = "10.1142/S0218127416500383" } ***************** 2015 @article{AndrievskyKL-2015, title = "Convergence-based Analysis of Robustness to Delay in Anti-windup Loop of Aircraft Autopilot", journal = "IFAC-PapersOnLine ", volume = "48", number = "9", pages = "144-149", year = "2015", author = "Andrievsky, B.R. and Kuznetsov, N.V. and Leonov, G.A.", } %doi = "10.1016/j.ifacol.2015.08.074", @article{LeonovKYY-2015-TCAS, author = "Leonov, G.A. and Kuznetsov, N.V. and Yuldashev, M.V. and Yuldashev, R.V.", title = "Hold-in, pull-in, and lock-in ranges of {PLL} circuits: rigorous mathematical definitions and limitations of classical theory", journal = "IEEE Transactions on Circuits and Systems--I: Regular Papers", year = "2015", volume = "62", number = "10", pages = "2454--2464", doi = "10.1109/TCSI.2015.2476295" } @Article{LeonovAK-2015, author = "Leonov, G.A. and Alexeeva, T.A. and Kuznetsov, N.V.", title = "Analytic exact upper bound for the {L}yapunov dimension of the {S}himizu-{M}orioka system", journal = "Entropy", volume = "17", year = "2015", number = "7", pages = "5101-5116", doi = "10.3390/e17075101", } @article{BianchiKLYY-2015, title="Limitations of {PLL} simulation: hidden oscillations in {MATLAB} and {SPICE}", author="Bianchi, G. and Kuznetsov, N.V. and Leonov, G.A. and Yuldashev, M.V. and Yuldashev, R.V.", journal={International Congress on Ultra Modern Telecommunications and Control Systems and Workshops (ICUMT 2015)}, year={2016}, volume={2016-January}, pages="79-84", art_number={7382409}, publisher = "IEEE", doi = "10.1109/ICUMT.2015.7382409", } @article{BlagovKLYY-2015, author={M.V. Blagov and N.V. Kuznetsov and G.A. Leonov and M.V. Yuldashev and R.V. Yuldashev}, title={Simulation of {PLL} with impulse signals in {MATLAB}: Limitations, hidden oscillations, and pull-in range}, journal={International Congress on Ultra Modern Telecommunications and Control Systems and Workshops (ICUMT 2015)}, year={2016}, volume={2016-January}, pages={85-90}, publisher = "IEEE", art_number={7382410}, doi={10.1109/ICUMT.2015.7382410}, } @article{KuznetsovLM-2015, author="Kuznetsov, N.V. and Leonov, G.A. and Mokaev, T.N.", year="2015", journal="arXiv:1504.04723v1", title="Hidden attractor in the {R}abinovich system", note="http://arxiv.org/pdf/1504.04723v1.pdf", } @article{LeonovKKK-2015-arXiv-LuChen, author="Leonov, G.A. and Kuznetsov, N.V. and Korzhemanova, N.A. and Kusakin, D.V.", year="2015", journal="arXiv", title="Estimation of {L}yapunov dimension for the {C}hen and {L}u systems", volume="http://arxiv.org/pdf/1504.04726v1.pdf", } @article{LeonovKKK-2015-arXiv-Lorenz, author="Leonov, G.A. and Kuznetsov, N.V. and Korzhemanova, N.A. and Kusakin, D.V.", year="2015", journal="arXiv", title="The {L}yapunov dimension formula for the global attractor of the {L}orenz system ", volume="http://arxiv.org/pdf/1508.07498v1.pdf" } @article{AlexandrovKLNS-2015-IFAC-Pull-in, author = "Alexandrov, K.D. and Kuznetsov, N.V. and Leonov, G.A. and Neittaanmaki, P. and Seledzhi, S.M.", title = "Pull-in range of the classical \{PLL\} with impulse signals ", journal = "IFAC-PapersOnLine", volume = "48", number = "1", pages = "562 - 567", year = "2015", doi = "10.1016/j.ifacol.2015.05.090", } @article{KuznetsovLYY-2015-IFAC, author = "N.V. Kuznetsov and G.A. Leonov and M.V. Yuldashev and R.V. Yuldashev", title = "Simulation of the classical analog phase-locked loop based circuits ", journal = "IFAC-PapersOnLine ", volume = "48", number = "1", pages = "568 - 573", year = "2015", doi = "10.1016/j.ifacol.2015.05.217", } @article{LeonovKS-2015, title="A simple dynamical model of hydropower plant: stability and oscillations", author="Leonov, G.A. and Kuznetsov, N.V. and Solovyeva", journal = "IFAC-PapersOnLine ", volume = "48", number = "11", pages = "656 - 661", year = "2015", doi = "10.1016/j.ifacol.2015.09.262", } @article{ALAboodiKLYY-2015-IFAC, author = "M. Al-Aboodi and N.V. Kuznetsov and G.A. Leonov and M.V. Yuldashev and R.V. Yuldashev", title = "Response of {C}ostas {PLL} in the Presence of In-band Interference ", journal = "IFAC-PapersOnLine", volume = "48", number = "11", pages = "714 - 719", year = "2015", doi = "10.1016/j.ifacol.2015.09.273", } @article{KuznetsovLYY-2015-IFAC-Ranges, author="Kuznetsov, N.V. and Leonov, G.A. and Yuldashev, M.V. and Yuldashev, R.V.", title="Rigorous mathematical definitions of the hold-in and pull-in ranges for phase-locked loops", journal = "IFAC-PapersOnLine", volume = "48", number = "11", pages = "710-713", year = "2015", doi = "10.1016/j.ifacol.2015.09.272", } @article{KuznetsovLSYY-2015-PD, author="Kuznetsov, N.V. and Leonov, G.A. and Seledzhi, S.M. and Yuldashev, M.V. and Yuldashev, R.V.", title = "Elegant analytic computation of phase detector characteristic for non-sinusoidal signals", journal = "IFAC-PapersOnLine", volume = "48", number = "11", pages = "960-963", year = "2015", doi = "10.1016/j.ifacol.2015.09.316", } @article{AlexandrovKLNS-2015-IFAC, author="Alexandrov, K.D. and Kuznetsov, N.V. and Leonov, G.A. and Neittaanmaki, P. and Seledzhi, S.M.", title = "Pull-in range of the {PLL}-based circuits with proportionally-integrating filter", journal = "IFAC-PapersOnLine ", volume = "48", number = "11", pages = "720-724", year = "2015", doi = "10.1016/j.ifacol.2015.09.274", } @article{LeonovKKK-2015-IFAC, author="Leonov, G.A. and Kiseleva, M.A. and Kuznetsov, N.V. and Kuznetsova, O.A.", title="Discontinuous differential equations: comparison of solution definitions and localization of hidden {C}hua attractors", journal = "IFAC-PapersOnLine", volume = "48", number = "11", pages = "408-413", year = "2015", doi="10.1016/j.ifacol.2015.09.220" } @article{KislevaKKL-2015-IFAC, author="Kiseleva, M.A. and Kondratyeva, N.V. and Kuznetsov, N.V. and Leonov, G.A.", title = "Hidden oscillations in drilling systems with salient pole synchronous motor", journal = "IFAC-PapersOnLine ", volume = "48", number = "11", pages = "700-705", year = "2015", doi = "10.1016/j.ifacol.2015.09.270", } @article{KuznetsovLS-2015-IFAC, author = "N.V. Kuznetsov and G.A. Leonov and M.M. Shumafov", title = "A short survey on {P}yragas time-delay feedback stabilization and odd number limitation ", journal = "IFAC-PapersOnLine ", volume = "48", number = "11", pages = "706 - 709", year = "2015", doi = "10.1016/j.ifacol.2015.09.271", } @article{KuznetsovLYY-2015-arxiv-Ranges, author = "Kuznetsov, N.V. and Leonov, G.A. and Yuldashev, M.V. and Yuldashev, R.V.", title = "Hold-in, pull-in, and lock-in ranges of {PLL}-based circuits: rigorous mathematical definitions and limitations of classical theory", journal = "ArXiv e-prints", archivePrefix = "arXiv", eprint = "1505.04262", year = 2015, note = "(Acepted to IEEE TCAS-I)" } @article{LeonovKM-2015-EPJST, author = "Leonov, G.A. and Kuznetsov, N.V. and Mokaev, T.N.", title = "Homoclinic orbits, and self-excited and hidden attractors in a {L}orenz-like system describing convective fluid motion", journal = "Eur. Phys. J. Special Topics", volume = "224", number = "8", pages = "1421-1458", year = "2015", doi = "10.1140/epjst/e2015-02470-3" } @article{SharmaSPKL-2015-EPJST, author = "Sharma, P.R. and Shrimali, M.D. and Prasad, A. and Kuznetsov, N.V. and Leonov, G.A.", title = "Control of multistability in hidden attractors", journal = "Eur. Phys. J. Special Topics", volume = "224", number = "8", pages = "1485-1491", year = "2015" } @article{SharmaSPKL-2015, author = "Sharma, P.R. and Shrimali, M.D. and Prasad, A. and Kuznetsov, N.V. and Leonov, G.A.", title = "Controlling Dynamics of Hidden Attractors", journal = "International Journal of Bifurcation and Chaos", volume = "25", number = "04", note = "art. num. 1550061", year = "2015", doi = "10.1142/S0218127415500613", } @article{LeonovKM-2015-CNSNS, author = "Leonov, G.A. and Kuznetsov, N.V. and Mokaev, T.N.", title = "Hidden attractor and homoclinic orbit in {L}orenz-like system describing convective fluid motion in rotating cavity", journal = "Communications in Nonlinear Science and Numerical Simulation", volume = "28", year = "2015", pages = "166-174", doi = {10.1016/j.cnsns.2015.04.007} } @inproceedings{BestKKLYY-2015-ACC, author="Best, R.E. and Kuznetsov, N.V. and Kuznetsova, O.A. and Leonov, G.A. and Yuldashev, M.V. and Yuldashev, R.V.", booktitle="Proceedings of the American Control Conference", title="A short survey on nonlinear models of the classic {C}ostas loop: rigorous derivation and limitations of the classic analysis", publisher = "IEEE", year="2015", pages="1296--1302", doi="10.1109/ACC.2015.7170912", note="art. num. 7170912, http://arxiv.org/pdf/1505.04288v1.pdf" } @article{KuznetsovKLNYY-2015-ISCAS, author="Kuznetsov, N.V. and Kuznetsova, O.A. and Leonov, G.A. and Neittaanmaki, P. and Yuldashev, M.V. and Yuldashev, R.V.", journal="Proceedings - IEEE International Symposium on Circuits and Systems", title="Limitations of the classical phase-locked loop analysis", year="2015", volume="2015-July", pages="533-536", doi="10.1109/ISCAS.2015.7168688", art_number="7168688" } @article{LeonovKYY-2015-DAN-PLL, author = "Leonov, G.A. and Kuznetsov, N.V. and Yuldashev, M.V. and Yuldashev, R.V.", title = "Computation of the phase detector characteristic of classical {PLL}", journal = "Doklady Mathematics", year = "2015", number = "2", volume = "91", pages = "246-249", } @article{LeonovKYY-2015-DAN-BPSK, author = "Leonov, G.A. and Kuznetsov, N.V. and Yuldashev, M.V. and Yuldashev, R.V.", title="Mathematical models of the {C}ostas loop", journal="Doklady Mathematics", year="2015", volume="92", number="2", pages="594--598", doi="10.1134/S1064562415050270", } @article{KiselevaK-2015-Vestnik, author = "M.A. Kiseleva and N.V. Kuznetsov", title = "Coinsidence of {G}elig-{L}eonov-{Y}akubovich, {F}ilippov, and {A}izerman-{P}yatnitskii definitions", journal = "Vestnik St. Petersburg University. Mathematics", year = "2015", number = "2", volume = "48", pages = "66-71", doi = "10.3103/S1063454115020041" } @article{LeonovK-2015-AMC, author="Leonov, G.A. and Kuznetsov, N.V.", title="On differences and similarities in the analysis of {L}orenz, {C}hen, and {L}u systems", journal="Applied Mathematics and Computation", year="2015", volume = "256", pages="334-343", doi="10.1016/j.amc.2014.12.132" } @article{LeonovKYY-2015-SIGPRO, author = "Leonov, G.A. and Kuznetsov, N.V. and Yuldashev, M.V. and Yuldashev, R.V.", title = "Nonlinear dynamical model of {C}ostas loop and an approach to the analysis of its stability in the large", journal = "Signal Processing", volume = "108", pages = "124-135", doi = "10.1016/j.sigpro.2014.08.033", year = "2015" } @inbook{LeonovK-2014-NDC, language = "english", author = "Leonov, G.A. and Kuznetsov, N.V.", title = "Nonlinear Dynamics and Complexity", volume = "8", chapter = "{L}yapunov Exponent Sign Reversal: Stability and Instability by the First Approximation", publisher = "Springer", year = "2014", doi = "10.1007/978-3-319-02353-3\_2" } @article{KuznetsovL-2014-IFACWC, author="Kuznetsov, N.V. and Leonov, G.A.", journal="IFAC Proceedings Volumes (IFAC-PapersOnline)", title="Hidden attractors in dynamical systems: systems with no equilibria, multistability and coexisting attractors", volume = "19", year="2014", pages="5445-5454", doi="10.3182/20140824-6-ZA-1003.02501", } @article{KiselevaKKLS-2014, author="Kiseleva, M.A. and Kondratyeva, N.V. and Kuznetsov, N.V. and Leonov, G.A. and Solovyeva, E.P.", title="Hidden periodic oscillations in drilling system driven by induction motor", journal="IFAC Proceedings Volumes", year="2014", volume="47", number="19", pages="5872-5877", doi="10.3182/20140824-6-ZA-1003.02449", } @article{LeonovSK-2014-IFAC, author = "Leonov, G.A. and Shumafov, M.M. and Kuznetsov, N.V.", title = "Delayed feedback stabilization of unstable equilibria", year = "2014", journal = "IFAC Proceedings Volumes (IFAC-PapersOnline)", volume = "19", pages = "6818-6825", doi = "10.3182/20140824-6-ZA-1003.02458" } @article{KuznetsovLYY-2014-IFAC, author = "Kuznetsov, N.V. and Leonov, G.A. and Yuldashev, M.V. and Yuldashev, R.V.", title = "Nonlinear analysis of classical phase-locked loops in signal's phase space", year = "2014", journal = "IFAC Proceedings Volumes (IFAC-PapersOnline)", volume = "19", pages = "8253-8258", doi = "10.3182/20140824-6-ZA-1003.02772" } @inproceedings{KuznetsovKLNYY-2014-ICUMT-QPSK, author="Kuznetsov, N.V. and Kuznetsova, O.A. and Leonov, G.A. and Neittaanmaki, P. and Yuldashev, M.V. and Yuldashev, R.V.", booktitle="2014 6th International Congress on Ultra Modern Telecommunications and Control Systems and Workshops (ICUMT)", volume="2015-January", title="Simulation of nonlinear models of {QPSK} {C}ostas loop in {M}atLab {S}imulink", publisher = "IEEE", year="2014", pages="66-71", art_number="7002080", doi="10.1109/ICUMT.2014.7002080", } @inproceedings{AlexandrovKLS-2014-ICUMT, author="Alexandrov, K.D. and Kuznetsov, N.V. and Leonov, G.A. and Seledzhi, S.M.", title="Best's conjecture on pull-in range of two-phase {C}ostas loop", booktitle="2014 6th International Congress on Ultra Modern Telecommunications and Control Systems and Workshops (ICUMT)", volume="2015-January", year="2014", pages="78-82", art_number="7002082", publisher = "IEEE", doi="10.1109/ICUMT.2014.7002082", } @inproceedings{KuznetsovKLSYY-2014-ICUMT-BPSK, author="Kuznetsov, N.V. and Kuznetsova, O.A. and Leonov, G.A. and Seledzhi, S.M. and Yuldashev, M.V. and Yuldashev, R.V.", booktitle="2014 6th International Congress on Ultra Modern Telecommunications and Control Systems and Workshops (ICUMT)", volume="2015-January", title="{BPSK} {C}ostas loop: Simulation of nonlinear models in {M}atLab {S}imulink", year="2014", pages="83-87", art_number="7002083", publisher = "IEEE", doi="10.1109/ICUMT.2014.7002083", } @inproceedings{KuznetsovLYY-2014-ICUMT, author="Kuznetsov, N.V. and Leonov, G.A. and Yuldashev, M.V. and Yuldashev, R.V.", booktitle="2014 6th International Congress on Ultra Modern Telecommunications and Control Systems and Workshops (ICUMT)", volume="2015-January", title="Simulation of nonlinear models of modified {BPSK} {C}ostas loop for non sinusoidal waveforms in {M}atLab {S}imulink", year="2014", pages="88-94", art_number="7002084", publisher = "IEEE", doi="10.1109/ICUMT.2014.7002084", } @article{KudryashovaKKLSYY-2014-ICINCO, author = " Kudryashova, E.V. and Kuznetsova, O.A. and Kuznetsov, N.V. and Leonov, G.A. and Seledzhi, S.M. and Yuldashev, M.V. and Yuldashev, R.V.", title = "Nonlinear Models of {BPSK} {C}ostas Loop", year = "2014", journal="ICINCO 2014 - Proceedings of the 11th International Conference on Informatics in Control, Automation and Robotics", volume="1", pages="704-710", doi = "10.5220/0005050707040710" } @article{LeonovK-2014-arXiv-LCL, author="Leonov, G.A. and Kuznetsov, N.V.", year="2014", journal="arXiv:1409.8649v1", title="Differences and similarities in the analysis of {L}orenz, {C}hen, and {L}u systems", } @article{KuznetsovAL-2014-arXiv-LE, year="2014", journal="arXiv:1410.2016v2", title="Invariance of {L}yapunov characteristic exponents, {L}yapunov exponents, and {L}yapunov dimension for regular and non-regular linearizations", author="Kuznetsov, N.V. and Alexeeva, T.A. and Leonov, G.A.", note="(accepted to Nonlinear Dynamics)" } @article{LeonovKM-2014-arXiv, author = "Leonov, G.A. and Kuznetsov, N.V. and Mokaev, T.N.", title = "Homoclinic orbit and hidden attractor in the {L}orenz-like system describing the fluid convection motion in the rotating cavity", journal = "ArXiv e-prints", archivePrefix = "arXiv", eprint = "1412.7667", year = "2014" } @article{LeonovKKSZ-2014, year="2014", journal="Nonlinear Dynamics", doi="10.1007/s11071-014-1292-6", title="Hidden oscillations in mathematical model of drilling system actuated by induction motor with a wound rotor", author="Leonov, G.A. and Kuznetsov, N.V. and Kiseleva, M.A. and Solovyeva, E.P. and Zaretskiy, A.M.", volume = "77", number = "1-2", pages = "277-288", } @article{KuznetsovMV-2014-CNSNS, author = "Kuznetsov, N.V. and Mokaev, T.N. and Vasilyev, P.A.", title = "Numerical justification of {L}eonov conjecture on {L}yapunov dimension of {R}ossler attractor", journal = "Commun Nonlinear Sci Numer Simulat", volume = "19", year = "2014", pages = "1027-1034" } @article{BestKLYY-2014-IJAC, author = "Best, R.E. and Kuznetsov, N.V. and Leonov, G.A. and Yuldashev, M.V. and Yuldashev, R.V.", title = "Simulation of analog {C}ostas loop circuits", journal = "International Journal of Automation and Computing", volume = "11", number = "6", year = "2014", pages = "571-579", doi = "10.1007/s11633-014-0846-x" } @article{LeonovKYY-2016-DAN, author = "Leonov, G.A. and Kuznetsov, N.V. and Yuldashev, M.V. and Yuldashev, R.V.", title = "Analytical computation of phase-detector characteristics and dynamical model of {QPSK} {C}ostas loop", journal = "Doklady Mathematics", note = "submitted", year = "2016" } @inbook{BestKLYY-2014-DCNPS, language = "english", author = "Best, R.E. and Kuznetsov, N.V. and Leonov, G.A. and Yuldashev, M.V. and Yuldashev, R.V.", title = "Discontinuity and Complexity in Nonlinear Physical Systems", chapter = "Nonlinear analysis of phase-locked loop based circuits", volume = "6", publisher = "Springer", year = "2014", doi = "10.1007/978-3-319-01411-1\_10" } @inbook{KiselevaKLN-2014-DCNPS, language = "english", author = "Kiseleva, M.A. and Kuznetsov, N.V. and Leonov, G.A. and Neittaanm{\"{a}}ki, P.", title = "Discontinuity and Complexity in Nonlinear Physical Systems", chapter = "Drilling systems: stability and hidden oscillations", volume = "6", publisher = "Springer", year = "2014", doi = "10.1007/978-3-319-01411-1\_15" } @inbook{LeonovK-2014-MMAES, language = "english", author = "Leonov, G.A. and Kuznetsov, N.V.", title = "Mechanics and Model-Based Control of Advanced Engineering Systems", chapter = "Nonlinear analysis of phase-locked loop ({PLL}): global stability analysis, hidden oscillations and simulation problems", publisher = "Springer", year = "2014", doi = "10.1007/978-3-319-01411-1\_15" } @article{LeonovK-2014-JMS, author = "Leonov, G.A. and Kuznetsov, N.V.", title = "Hidden oscillations in dynamical systems. 16 {H}ilbert's problem, {A}izerman's and {K}alman's conjectures, hidden attractors in {C}hua's circuits", journal = "Journal of Mathematical Sciences", volume = "201", number = "5", year = "2014", pages = "645-662", doi = "10.1007/s10958-014-2017-6" } @article{LeonovK-2013-AISC, author = "Leonov, G.A. and Kuznetsov, N.V.", journal = "Advances in Intelligent Systems and Computing", title = "Prediction of hidden oscillations existence in nonlinear dynamical systems: analytics and simulation", volume = "210 {AISC}", year = "2013", pages = "5-13", doi = "10.1007/978-3-319-00542-3\_3", language = "english", } @article{LeonovKKN-2013-JAND, author = "Leonov, G.A. and Kiseleva, M.A. and Kuznetsov, N.V. and Neittaanm{\"{a}}ki, P.", title = "Hidden oscillations in drilling systems: torsional vibrations", journal = "Journal of Applied Nonlinear Dynamics", year = "2013", volume = "2", number = "1", pages = "83-94", doi = "10.5890/JAND.2012.09.006" } @article{LeonovK-2013-IJBC, author = "G.A. Leonov and N.V. Kuznetsov", title = "Hidden attractors in dynamical systems. {F}rom hidden oscillations in {H}ilbert-{K}olmogorov, {A}izerman, and {K}alman problems to hidden chaotic attractors in {C}hua circuits", journal = "International Journal of Bifurcation and Chaos", year = "2013", volume = "23", number = "1", note = "{a}rt. no. 1330002", doi = "10.1142/S0218127413300024" } @article{KuznetsovKL-2013-DEDS, author = "Kuznetsov, N.V. and Kuznetsova, O.A. and Leonov, G.A.", year = "2013", title = "Visualization of four normal size limit cycles in two-dimensional polynomial quadratic system", journal = "Differential equations and dynamical systems", volume = "21", number = "1-2", pages = "29-34", doi = "10.1007/s12591-012-0118-6" } @inproceedings{KuznetsovLNSYY-2013-ICINCO, author = "Kuznetsov, N.V. and Leonov, G.A. and Neittaanm{\"{a}}ki, P. and Seledzhi, S.M. and Yuldashev, M.V. and Yuldashev, R.V.", title = "Phase-frequency domain model of {C}ostas loop with mixer discriminator", year = "2013", booktitle = "Proceedings of the 10th International Conference on Informatics in Control, Automation and Robotics", pages = "427-433", doi = "10.5220/0004479104270433" } @article{AndrievskyKLP-2013-IFAC, author = "Andrievsky, B.R. and Kuznetsov, N.V. and Leonov, G.A. and Pogromsky, A.Yu.", title = "Hidden Oscillations in Aircraft Flight Control System with Input Saturation", year = "2013", journal = "IFAC Proceedings Volumes", volume = "46", number = "12", pages = "75-79", doi = "10.3182/20130703-3-FR-4039.00026" } @article{AndrievskyKLS-2013-IFAC, author = "Andrievsky, B.R. and Kuznetsov, N.V. and Leonov, G.A. and Seledzhi, S.M.", title = "Hidden oscillations in stabilization system of flexible launcher with saturating actuators", year = "2013", journal = "IFAC Proceedings Volumes", volume = "46", number = "19", pages = "37-41", doi = "10.3182/20130902-5-DE-2040.00040" } @article{KuznetsovKLV-2013, author = "Kuznetsov, N. and Kuznetsova, O. and Leonov, G. and Vagaitsev, V.", journal = "Informatics in Control, Automation and Robotics, Lecture Notes in Electrical Engineering, Volume 174, Part 4", title = "Analytical-numerical localization of hidden attractor in electrical {C}hua's circuit", volume = "174", number = "4", year = "2013", pages = "149-158", doi="10.1007/978-3-642-31353-0\_11" } @inbook{LeonovK-2013-CMAS, language = "english", author = "Leonov, G.A. and Kuznetsov, N.V.", title = "Numerical Methods for Differential Equations, Optimization, and Technological Problems, Computational Methods in Applied Sciences, Volume 27, Part 1", chapter = "Analytical-numerical methods for hidden attractors' localization: the 16th {H}ilbert problem, {A}izerman and {K}alman conjectures, and {C}hua circuits ", publisher = "Springer", year = "2013", pages = "41-64", doi="10.1007/978-94-007-5288-7\_3" } @article{KiselevaKLN-2013, author="Kiseleva, M.A. and Kuznetsov, N.V. and Leonov, G.A. and Neittaanmaki, P.", title="Hidden oscillations in drilling system actuated by induction motor", journal="IFAC Proceedings Volumes (IFAC-PapersOnline)", year="2013", volume="5", pages="86-89", doi="10.3182/20130703-3-FR-4039.00028", } % 2012 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% @article{LeonovAKP-2012, author = "Leonov, G.A. and Andrievskii, B.R. and Kuznetsov, N.V. and Pogromskii, A.Yu. ", year = "2012", title = "Aircraft control with anti-windup compensation", journal = "Differential equations", volume = "48", number = "13", pages = "1700-1720", doi = "10.1134/S001226611213" } @article{LeonovKP-2012-DAN, author = "Leonov, G.A. and Kuznetsov, N.V. and Pogromskii, A.Yu. ", year = "2012", title = "Stability domain analysis of an antiwindup control system for an unstable object", journal = "Doklady Mathematics", volume = "86", number = "1", pages = "587-590", doi = "10.1134/S1064562412040035" } @article{LeonovKYY-2012-DAN, author = "Leonov, G.A. and Kuznetsov, N.V. and Yuldashev, M.V. and Yuldashev, R.V.", year = "2012", title = "Differential equations of {C}ostas loop", journal = "Doklady Mathematics", volume = "86", number = "2", pages = "723-728", doi = "10.1134/S1064562412050080" } @article{LeonovKV-2012-PhysD, author = "Leonov, G.A. and Kuznetsov, N.V. and Vagaitsev, V.I.", year = "2012", title = "Hidden attractor in smooth {C}hua systems", journal = "Physica D: Nonlinear Phenomena", volume = "241", number = "18", pages = "1482-1486", doi = "10.1016/j.physd.2012.05.016", } @article{LeonovKYY-2012-TCASII, author = "Leonov, G.A. and Kuznetsov, N.V. and Yuldahsev, M.V. and Yuldashev, R.V.", year = "2012", title = "Analytical method for computation of phase-detector characteristic", journal = "IEEE Transactions on Circuits and Systems - II: Express Briefs", volume = "59", number = "10", pages="633-647", doi = "10.1109/TCSII.2012.2213362" } % 2011 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% @article{LeonovKV-2011-PLA, author = "Leonov, G.A. and Kuznetsov, N.V. and Vagaitsev, V.I.", title = "Localization of hidden {C}hua's attractors", journal = "Physics Letters A", number = "23", volume = "375", doi= "10.1016/j.physleta.2011.04.037", year = "2011", pages="2230-2233" } @article{BraginVKL-2011, author = "Bragin, V.O. and Vagaitsev, V.I. and Kuznetsov, N.V. and Leonov, G.A.", year = "2011", title = "Algorithms for Finding Hidden Oscillations in Nonlinear Systems. {T}he {A}izerman and {K}alman Conjectures and {C}hua's Circuits", journal = "Journal of Computer and Systems Sciences International", volume = "50", number = "4", pages = "511-543", doi = "10.1134/S106423071104006X" } @article{LeonovKKSV-2011-WTSC, author = "Leonov, G.A. and Kuznetsov, N.V. and Kuznetsova, O.A. and Seledzhi, S.M. and Vagaitsev, V.I.", year = "2011", title = "Hidden oscillations in dynamical systems", journal = "Transaction on Systems and Control", volume = "6", number ="2", pages = "54-67" } @article{LeonovKYY-2011-DAN, author = "Leonov, G.A. and Kuznetsov, N.V. and Yuldahsev, M.V. and Yuldashev, R.V.", year = "2011", title = "Computation of phase detector characteristics in synchronization systems", journal = "Doklady Mathematics", volume = "84", number = "1", pages="586-590", doi = "10.1134/S1064562411040223" } @article{LeonovK-2011-DAN, author = "Leonov, G.A. and Kuznetsov, N.V.", year = "2011", title = "Algorithms for searching for hidden oscillations in the {A}izerman and {K}alman problems", journal = "Doklady Mathematics", volume = "84", number = "1", pages = "475-481", doi = "10.1134/S1064562411040120" } @article{LeonovKK-2011-ProcSIM, author = "Leonov, G.A. and Kuznetsov, N.V. and Kudryashova, E.V.", year = "2011", title = "A Direct Method for Calculating {L}yapunov Quantities of Two-Dimensional Dynamical Systems", journal = "Proceedings of the Steklov Institute of Mathematics", volume = "272 (Suppl. 1)", pages = " S119-S127", doi = "10.1134/S008154381102009X" } @article{LeonovKKK-2011, author = "Leonov, G.A. and Kuznetsov, N.V. and Kudryashova, E.V. and Kuznetsova, O.A.", year = "2011", title = "Modern symbolic computation methods: {L}yapunov quantities and 16th {H}ilbert problem", journal = "SPIIRAS Proceedings", volume = "1", number = "16", pages = "5-36", } @article{KuznetsovVLS-2011-NAUN, author="Kuznetsov, N.V. and Vagaitsev, V.I. and Leonov, G.A. and Seledzhi, S.M.", title="Localization of hidden attractors in smooth {C}hua's systems", journal="International Conference on Applied and Computational Mathematics", year="2011", pages="26-33", } % 2010 %%%%%%%%%%%%%%%%%%%%%% @article{LeonovK-2010-DAN, author = "Leonov, G.A. and Kuznetsov, N.V.", year = "2010", title = "Limit cycles of quadratic systems with a perturbed weak focus of order 3 and a saddle equilibrium at infinity", journal = "Doklady Mathematics", volume = "82", number = "2", pages = "693-696", doi = "10.1134/S1064562410050042" } @article{LeonovVK-2010-DAN, author = "Leonov, G.A. and Vagaitsev, V.I. and Kuznetsov, N.V.", year = "2010", title = "Algorithm for localizing {C}hua attractors based on the harmonic linearization method", journal = "Doklady Mathematics", volume = "82", number = "1", pages = "663-666", doi = "10.1134/S1064562410040411" } @article{LeonovBK-2010-DAN, author = "Leonov, G.A. and Bragin, V.O. and Kuznetsov, N.V.", year = "2010", title = "Algorithm for Constructing Counterexamples to the {K}alman Problem", journal = "Doklady Mathematics", volume = "82", number = "1", pages = "540-542", doi = "10.1134/S1064562410040101" } @article{LeonovKB-2010-Vest, author = "Leonov, G.A. and Bragin, V.O. and Kuznetsov, N.V.", year = "2010", title = "On Problems of {A}izerman and {K}alman", journal = "Vestnik St{.}~Petersburg University{.} Mathematics", volume = "43", number = "3", pages = "148-162", doi = "10.3103/S1063454110030052" } % EARLY JOURNAL PAPERS %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% @article{KuznetsovL-2008-JVE, author = "Kuznetsov, N.V. and Leonov, G.A.", year = "2008", title = "{L}yapunov quantities, limit cycles and strange behavior of trajectories in two-dimensional quadratic systems", journal = "Journal of Vibroengineering", volume = "10", number = "4", pages = "460-467", issn = "1392-8716" } @article{LeonovKK-2008, author = "Leonov, G.A. and Kuznetsov, N.V. and Kudryashova, E.V.", year = "2008", title = "Cycles of two-dimensional systems: Computer calculations, proofs, and experiments", journal = "Vestnik St{.}~Petersburg University{.}~Mathematics", volume = "41", number = "3", pages = "216-250", doi = "10.3103/S1063454108030047" } @article{LeonovK-2007, author="Leonov, G.A. and Kuznetsov, N.V.", title="Time-varying linearization and the {P}erron effects", journal="International Journal of Bifurcation and Chaos", year="2007", volume="17", number="4", pages = "1079-1107", doi= "10.1142/S0218127407017732" } @article{KuznetsovL-2005-Vest-InStab, author = "Kuznetsov, N.V. and Leonov, G.A.", year = "2005", title = "Criteria of stability by the first approximation for discrete nonlinear systems", journal = "Vestnik Sankt-Peterburgskogo Universiteta. Ser 1. Matematika Mekhanika Astronomiya", number = "3", pages = "30-42" } @article{KuznetsovL-2005-Vest-Stab, author = "Kuznetsov, N.V. and Leonov, G.A.", year = "2005", title = "Criterion of stability to first approximation of nonlinear discrete systems", journal = "Vestnik Sankt-Peterburgskogo Universiteta. Ser 1. Matematika Mekhanika Astronomiya", number = "2", pages = "55-63" } @article{KuznetsovL-2003-Vest, author = "Kuznetsov, N.V. and Leonov, G.A.", year = "2003", title = "Stability by the first approximation for discrete systems", journal = "Vestnik St.Petersburg University. Mathematics", volume = "36", number = "1", pages = "21-27" } @article{KuznetsovL-2001, author="Kuznetsov, N.V. and Leonov, G.A.", title="Counterexample of {P}erron in the Discrete Case", journal="Izv. RAEN, Diff. Uravn.", year="2001", volume="5", pages="71" } % CONFERENCE @inproceedings{AndrievskyKLP-2012, author = "Andrievsky, B.R. and Kuznetsov, N.V. and Leonov, G.A. and Pogromsky, A.Yu. ", year = "2012", title = "Convergence based anti-windup design method and its application to flight control", booktitle = "International Congress on Ultra Modern Telecommunications and Control Systems and Workshops", publisher = "IEEE", pages = "212-218 (art. no. 6459667)", doi = "10.1109/ICUMT.2012.6459667" } @conference{KuznetsovLNSYY-2012-IEEE-PLL, author = "Kuznetsov, N.V. and Leonov, G.A. and Neittaanm{\"{a}}ki, P. and Seledzhi, S.M. and Yuldashev, M.V. and Yuldashev, R.V.", title = "Simulation of phase-locked loops in phase-frequency domain", year = "2012", booktitle = "International Congress on Ultra Modern Telecommunications and Control Systems and Workshops", publisher = "IEEE", pages = "351-356 (art. no. 6459692)", doi = "10.1109/ICUMT.2012.6459692" } @conference{LeonovK-2012-IEEE, author = "Leonov, G.A. and Kuznetsov, N.V.", title = "{IWCFTA2012} {K}eynote speech {I} - {H}idden attractors in dynamical systems: {F}rom hidden oscillation in {H}ilbert-{K}olmogorov, {A}izerman and {K}alman problems to hidden chaotic attractor in {C}hua circuits", year = "2012", booktitle = "IEEE 2012 Fifth International Workshop on Chaos-Fractals Theories and Applications (IWCFTA)", pages = "XV-XVII", doi = "10.1109/IWCFTA.2012.8" } @conference{KiselevaKLN-2012-IEEE, author = "Kiseleva, M.A. and Kuznetsov, N.V. and Leonov, G.A. and Neittaanm{\"{a}}ki, P.", title = "Drilling systems failures and hidden oscillations", year = "2012", booktitle = "IEEE 4th International Conference on Nonlinear Science and Complexity, NSC 2012 - Proceedings", pages = "109-112", doi = "10.1109/NSC.2012.6304736" } @conference{KuznetsovLNSYY-2012-IEEE-Costas, author = "Kuznetsov, N.V. and Leonov, G.A. and Neittaanm{\"{a}}ki, P. and Seledzhi, S.M. and Yuldashev, M.V. and Yuldashev, R.V.", title = "Nonlinear mathematical models of {C}ostas Loop for general waveform of input signal", year = "2012", booktitle = "IEEE 4th International Conference on Nonlinear Science and Complexity, NSC 2012 - Proceedings", pages = "109-112", doi = "10.1109/NSC.2012.6304729" } @article{KuznetsovLYY-2012-ICINCO, author = "Kuznetsov, N.V. and Leonov, G.A. and Yuldashev, M.V. and Yuldashev, R.V.", title = "Nonlinear analysis of {C}ostas loop circuit", year = "2012", journal = "ICINCO 2012 - Proceedings of the 9th International Conference on Informatics in Control, Automation and Robotics", volume = "1", pages = "557-560", doi = "10.5220/0003976705570560" } % 2011 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% @article{KuznetsovLS-2011-IFAC, author = "Kuznetsov, N.V. and Leonov, G.A. and Seledzhi, S.M.", title = "Hidden oscillations in nonlinear control systems", year = "2011", journal = "IFAC Proceedings Volumes (IFAC-PapersOnline)", volume = "18", number = "1", pages = "2506-2510", doi = "10.3182/20110828-6-IT-1002.03316" } @article{LeonovK-2011-IFAC, author = "Leonov, G.A. and Kuznetsov, N.V.", title = "Analytical-numerical methods for investigation of hidden oscillations in nonlinear control systems", year = "2011", journal = "IFAC Proceedings Volumes (IFAC-PapersOnline)", volume = "18", number = "1", pages = "2494-2505", doi = "10.3182/20110828-6-IT-1002.03315" } @conference{KuznetsovKL-2011-4LC, author = "Kuznetsov, N.V. and Kuznetsova, O.A. and Leonov, G.A.", title = "Investigation of limit cycles in two-dimensional quadratic systems", year = "2011", booktitle = "Proceedings of 2nd International symposium Rare Attractors and Rare Phenomena in Nonlinear Dynamics (RA'11)", pages = "120-123" } @inproceedings{KuznetsovLYY-2011-IEEE, author = "Kuznetsov, N.V. and Leonov, G.A. and Yuldashev, M.V. and Yuldashev, R.V.", booktitle = "ISSCS 2011 - International Symposium on Signals, Circuits and Systems, Proceedings", publisher = "IEEE", title = "Analytical methods for computation of phase-detector characteristics and {PLL} design", year = "2011", pages="7-10", doi = "10.1109/ISSCS.2011.5978639" } @article{KuznetsovLYYS-2011-ICINCO, author = "Kuznetsov, N.V. and Neittaanm{\"{a}}ki, P. and Leonov, G.A. and Seledzhi, S.M. and Yuldashev, M.V. and Yuldashev, R.V.", title = "High-frequency analysis of phase-locked loop and phase detector characteristic computation", journal = "ICINCO 2011 - Proceedings of the 8th International Conference on Informatics in Control, Automation and Robotics", year = "2011", volume = "1", doi = "10.5220/0003522502720278", pages="272-278" } @article{KuznetsovKLV-2011-ICINCO, author = "Kuznetsov, N.V. and Kuznetsova, O.A. and Leonov, G.A. and Vagaytsev, V.I.", title = "Hidden attractor in {C}hua's circuits", journal = "ICINCO 2011 - Proceedings of the 8th International Conference on Informatics in Control, Automation and Robotics", year = "2011", volume = "1", pages="279-283", doi="10.5220/0003530702790283" } @article{LeonovKS-2011-RRSS, author = "Leonov, G.A. and Kuznetsov, N.V. and Seledzhi, S.M.", title = "Hidden oscillations in dynamical systems", journal = "Recent researches in System Science", year = "2011", pages="292-297" } % 2010 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% @article{KuznetsovLV-2010-IFAC, author = "Kuznetsov, N.V. and Leonov, G.A. and Vagaitsev, V.I.", title = "Analytical-numerical method for attractor localization of generalized {C}hua's system", year = "2010", journal = "IFAC Proceedings Volumes (IFAC-PapersOnline)", volume = "4", number = "1", pages = "29-33", doi = "10.3182/20100826-3-TR-4016.00009" } @article{BraginKL-2010-IFAC, author = "Bragin, V.O. and Kuznetsov, N.V. and Leonov, G.A.", title = "Algorithm for construction of counterexamples to {A}izerman's and {K}alman's conjecture", year = "2010", journal = "IFAC Proceedings Volumes (IFAC-PapersOnline)", volume = "4", number = "1", pages = "24-28", doi = "10.3182/20100826-3-TR-4016.00008" } @article{KuznetsovLNSYY-2010-IFAC, author = "Kuznetsov, N.V. and Leonov, G.A. and Neittaanm{\"{a}}ki, P. and Seledzhi, S.M. and Yuldashev, M.V. and Yuldashev, R.V.", title = "Nonlinear Analysis of Phase-locked loop", year = "2010", journal = "IFAC Proceedings Volumes (IFAC-PapersOnline)", volume = "4", number = "1", pages = "34-38", doi = "10.3182/20100826-3-TR-4016.00010" } @article{LeonovSKN-2010-ICINCO, author = "Leonov, G.A. and Seledzhi, S.M. and Kuznetsov, N.V. and Neittaanmaki, P.", title = "Asymptotic analysis of phase control system for clocks in multiprocessor arrays", journal = "ICINCO 2010 - Proceedings of the 7th International Conference on Informatics in Control, Automation and Robotics", volume = "3", pages = "99-102", year = "2010", doi = "10.5220/0002938200990102" } @conference{KuznetsovLS-2010-FRUCT, author = "Kuznetsov, N.V. and Leonov, G.A. and Seledzhi, S.M.", title = "Phase synchronization and control of clock generators", year = "2010", booktitle = "7th Seminar of Finnish-Russian University Cooperation in Telecommunications (FRUCT) Program", pages = "76-82" } @conference{KuznetsovLNSYY-2010, author = "Kuznetsov, N.V. and Leonov, G.A. and Neittaanm{\"{a}}ki, P. and Seledzhi, S.M. and Yuldashev, M.V. and Yuldashev, R.V.", title = "Nonlinear analysis of Phase-Locked Loop", booktitle = "Mathematical and Numerical Modeling in Science and Technology", year = "2010" } % 2009 %%%%%%%%%%%%%%%%%%%%%%%%%%%% @conference{LeonovK-2009-PhysCon, author = "Leonov, G.A. and Kuznetsov, N.V.", title = "Localization of hidden oscillations in dynamical systems (plenary lecture)", year = "2009", booktitle = "4th International Scientific Conference on Physics and Control", url = "http://www.math.spbu.ru/user/leonov/publications/2009-PhysCon-Leonov-plenary-hidden-oscillations.pdf\#page=21" } @article{KuznetsovLSN-2009-ICINCO, author = "Kuznetsov, N.V. and Leonov, G.A. and Seledzhi, S.M. and Neittaanm{\"{a}}ki, P.", title = "Analysis and design of computer architecture circuits with controllable delay line", year = "2009", journal = "ICINCO 2009 - 6th International Conference on Informatics in Control, Automation and Robotics, Proceedings", volume = "3 SPSMC", doi="10.5220/0002205002210224", pages = "221-224" } @conference{KuznetsovLS-2009-IASTED, author = "Kuznetsov, N.V. and Leonov, G.A. and Seledzhi, S.M.", title = "Nonlinear analysis of the {C}ostas loop and phase-locked loop with squarer", year = "2009", booktitle = "Proceedings of the IASTED International Conference on Signal and Image Processing, SIP 2009", pages = "1-7" } % 2008 %%%%%%%%%%%%%%%%%%%%%%%%%%%% @conference{KuznetsovLS-2008-ICINCO, author = "Kuznetsov, N.V. and Leonov, G.A. and Seledzhi, S.S.", title = "Phase Locked Loops Design And Analysis", booktitle = "ICINCO 2008 - 5th International Conference on Informatics in Control, Automation and Robotics, Proceedings", volume = " SPSMC", doi = "10.5220/0001485401140118", year = "2008", pages = "114-118" } @conference{KuznetsovL-2008, author = "Kuznetsov, N.V. and Leonov, G.A.", title = "Computation of {L}yapunov quantities", booktitle = "6th EUROMECH Nonlinear Dynamics Conference", publisher = "http://lib.physcon.ru/?item=1802", year = "2008" } @conference{LeonovKK-2008-plenary, author = "Leonov, G.A. and Kuznetsov, N.V. and Kudryashova, E.V.", year = "2008", title = "Local methods for dynamic system cycle investigation", booktitle = "X International Workshop Stability and Oscillations of Nonlinear Control Systems", } % 2007 %%%%%%%%%%%%%%%%%%%%%%%%%% @article{KuznetsovLNP-2007-IFAC, author = "Kuznetsov, N.V. and Leonov, G.A. and Nijmeijer, H. and Pogromsky, A.", journal = "IFAC Proceedings Volumes (IFAC-PapersOnline)", title = "Synchronization of two metronomes", volume = "3", issue = "1", pages="49-52", year = "2007", doi = "10.3182/20070829-3-RU-4912.00014" } @article{LeonovK-2007-IFAC, author = "Leonov, G.A. and Kuznetsov, N.V.", journal = "IFAC Proceedings Volumes (IFAC-PapersOnline)", title = "Computation of the first {L}yapunov quantity for the second-order dynamical system", volume = "3", issue = "1", year = "2007", pages="87-89", doi = "10.3182/20070829-3-RU-4912.00014" } % 2006 %%%%%%%%%%%%%%%%%%%%%%%%%%55 @article{LeonovKS-2006-IFAC, author = "Leonov, G.A. and Kuznetsov, N.V. and Seledzhi, S.M.", journal = "IFAC Proceedings Volumes (IFAC-PapersOnline)", title = "Analysis of phase-locked systems with discontinuous characteristics", volume = "1", issue = "1", year = "2006", pages="107-112", doi = "10.3182/20060628-3-FR-3903.00021" } % 2005 %%%%%%%%%%%%%%%%%%%%%%%%%%55 @inproceedings{KuznetsovL-2005, author = "Kuznetsov, N.V. and Leonov, G.A.", booktitle = "2005 International Conference on Physics and Control, PhysCon 2005", title = "On stability by the first approximation for discrete systems", publisher = "IEEE", volume = "Proceedings Volume 2005", year = "2005", pages="596-599", doi = "10.1109/PHYCON.2005.1514053" } %%%%%%%%%%%% OUR BOOKS %%%%%%%%%%%% @book{LeonovK-2014-book, author = "Leonov, G.A. and Kuznetsov, N.V.", title = "Nonlinear Mathematical Models of Phase-Locked Loops. Stability and Oscillations", publisher = "Cambridge Scientific Publisher", year = "2014" } @inbook{LeonovKS-2009, author = "Leonov, G.A. and Kuznetsov, N.V. and Seledzhi, S.M.", title = "Automation control - Theory and Practice", chapter = "Nonlinear Analysis and Design of Phase-Locked Loops", publisher = "In-Tech", year = "2009", pages = "89-114", doi="10.5772/7900" } @inbook{KudryashovaKLNS-2010, author="Kudryashova, E.V. and Kuznetsov, N.V. and Leonov, G.A. and Neittaanm{\"{a}}ki, P. and Seledzhi, S.M.", chapter="Analysis And Synthesis Of Clock Generator", title="From Physics To Control Through An Emergent View", publisher="World Scientific Publishing", year="2010", volume="15", pages="131-136", doi="10.1142/9789814282321\_0002" } @book{Kuznetsov-2008, author = "Kuznetsov, N.V.", title = "Stability and Oscillations of Dynamical Systems: Theory and Applications", publisher = "Jyvaskyla University Printing House", year = "2008" } %%%%%%%%%%%%%%%% PATENT @patent{ourPatent-PLL-2011, author = "Kuznetsov, N.V. and Leonov, G.A. and Seledzhi, S.M. and Yuldashev, M.V. and Yuldashev, R.V.", assignee = "Saint-Petersburg State University", address = "Saint-Petersburg, Russia", title = "Method for determining the operating parameters of phase-locked oscillator frequency and device for its implementation", nationality = "", note = " {P}atent 2010149471/08(071509) (RUS)", dayfiled = "6", monthfiled = dec, yearfiled = "2010", day = "27", month = "oct", year = "2011" } @patent{ourPatent-2013-fin, author = "Kuznetsov, N.V. and Leonov, G.A. and Neittaanmaki, P. and Yuldashev, M.V. and Yuldashev, R.V.", assignee = "Jyvaskyla University", title = "Method and system for modeling {C}ostas loop feedback for fast mixed signals", nationality = "Finland", note = " {P}atent application FI20130124", yearfiled = "2013", year = "2013" } @article{Aleksandrov-2016-arxive-1, title={Lock-in range of {PLL}-based circuits with proportionally-integrating filter and sinusoidal phase detector characteristic}, author={Aleksandrov, KD and Kuznetsov, NV and Leonov, GA and Yuldashev, MV and Yuldashev, RV}, journal={arXiv preprint arXiv:1603.08401}, year={2016} } @article{Aleksandrov-2016-arxive-2, title={Lock-in range of classical {PLL} with impulse signals and proportionally-integrating filter}, author={Aleksandrov, KD and Kuznetsov, NV and Leonov, GA and Yuldashev, MV and Yuldashev, RV}, journal={arXiv preprint arXiv:1603.09363}, year={2016} } @article{LeonovKYY-2016-dan, author="Leonov, G.~A. and Kuznetsov, N.~V. and Yuldashev, M.~V. and Yuldashev, R.~V.", title="Computation of the phase detector characteristic of a QPSK Costas loop", journal="Doklady Mathematics", year="2016", volume="93", number="3", pages="348--353", issn="1531-8362", doi="10.1134/S1064562416030236", url="http://dx.doi.org/10.1134/S1064562416030236" }