Nikolay V. Kuznetsov
Nikolay V. Kuznetsov
St.Petersburg State University; University of Jyväskylä
Verified email at spbu.ru - Homepage
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Hidden attractors in dynamical systems. From hidden oscillations in Hilbert-Kolmogorov, Aizerman, and Kalman problems to hidden chaotic attractor in Chua circuits
GA Leonov, NV Kuznetzov
International Journal of Bifurcation and Chaos 23 (1), art. no. 1330002, 2013
6572013
Localization of hidden Chua's attractors
GA Leonov, NV Kuznetsov, VI Vagaitsev
Physics Letters A 375 (23), 2230-2233, 2011
5952011
Hidden attractor in smooth Chua systems
GA Leonov, NV Kuznetsov, VI Vagaitsev
Physica D: Nonlinear Phenomena 241 (18), 1482-1486, 2012
4592012
Hidden attractors in dynamical systems
D Dudkowski, S Jafari, T Kapitaniak, NV Kuznetsov, GA Leonov, A Prasad
Physics Reports 637, 1-50, 2016
3942016
Hidden attractors in dynamical systems
G Leonov, N Kuznetsov
From hidden oscillations in Hilbert-Kolmogorov, 0
394*
Homoclinic orbits, and self-excited and hidden attractors in a Lorenz-like system describing convective fluid motion
GA Leonov, NV Kuznetsov, TN Mokaev
The European Physical Journal Special Topics 224 (8), 1421-1458, 2015
2952015
Time-varying linearization and the Perron effects
GA Leonov, NV Kuznetsov
International Journal of Bifurcation and Chaos 17 (4), 1079-1107, 2007
2512007
Hidden oscillations in mathematical model of drilling system actuated by induction motor with a wound rotor
GA Leonov, NV Kuznetsov, MA Kiseleva, EP Solovyeva, AM Zaretskiy
Nonlinear Dynamics 77 (1), 277–288, 2014
2302014
Algorithms for finding hidden oscillations in nonlinear systems. The Aizerman and Kalman conjectures and Chua¢s circuits
VO Bragin, VI Vagaitsev, NV Kuznetsov, GA Leonov
Journal of Computer and Systems Sciences International 50 (4), 511-543, 2011
2272011
Hidden oscillations in dynamical systems
GA Leonov, NV Kuznetsov, SM Seledzhi
Recent Researches in System Science, 292-297, 2011
1792011
Hidden oscillations in dynamical systems
GA Leonov, NV Kuznetsov, OA Kuznetsova, SM Seledzhi, VI Vagaitsev
Transaction on Systems and Control 6 (2), 54-67, 2011
1792011
Analytical-numerical method for attractor localization of generalized Chua's system
NV Kuznetsov, GA Leonov, VI Vagaitsev
IFAC Proceedings Volumes (IFAC-PapersOnline) 4 (1), 29-33, 2010
1762010
Hidden attractor and homoclinic orbit in Lorenz-like system describing convective fluid motion in rotating cavity
GA Leonov, NV Kuznetsov, TN Mokaev
Communications in Nonlinear Science and Numerical Simulation 28 (1), 166-174, 2015
1642015
Control of multistability in hidden attractors
PR Sharma, MD Shrimali, A Prasad, NV Kuznetsov, GA Leonov
The European Physical Journal Special Topics 224 (8), 1485-1491, 2015
1512015
Hidden attractors in dynamical models of phase-locked loop circuits: limitations of simulation in MATLAB and SPICE
NV Kuznetsov, GA Leonov, MV Yuldashev, RV Yuldashev
Communications in Nonlinear Science and Numerical Simulation 51, 39-49, 2017
1182017
Algorithms for searching for hidden oscillations in the Aizerman and Kalman problems
GA Leonov, NV Kuznetsov
Doklady Mathematics 84 (1), 475-481, 2011
1152011
On differences and similarities in the analysis of Lorenz, Chen, and Lu systems
GA Leonov, NV Kuznetsov
Applied Mathematics and Computation 256, 334-343, 2015
1112015
Hold-in, pull-in, and lock-in ranges of PLL circuits: rigorous mathematical definitions and limitations of classical theory
GA Leonov, NV Kuznetsov, MV Yuldashev, RV Yuldashev
IEEE Transactions on Circuits and Systems I: Regular Papers 62 (10), 2454-2464, 2015
1082015
Numerical justification of Leonov conjecture on Lyapunov dimension of Rossler attractor
NV Kuznetsov, TN Mokaev, PA Vasilyev
Communications in Nonlinear Science and Numerical Simulation 19, 1027–1034, 2014
1062014
Controlling Dynamics of Hidden Attractors
PR Sharma, MD Shrimali, A Prasad, NV Kuznetsov, GA Leonov
International Journal of Bifurcation and Chaos, 2015
1032015
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Articles 1–20