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Nikolay V. Kuznetsov
Nikolay V. Kuznetsov
Andre navneNikolay Kuznetsov, N.V. Kuznetsov, Н.В. Кузнецов
St. Petersburg State University; IPME RAS; University of Jyväskylä
Verificeret mail på spbu.ru - Startside
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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
10082013
Localization of hidden Chua's attractors
GA Leonov, NV Kuznetsov, VI Vagaitsev
Physics Letters A 375 (23), 2230-2233, 2011
8282011
Hidden attractors in dynamical systems
D Dudkowski, S Jafari, T Kapitaniak, NV Kuznetsov, GA Leonov, A Prasad
Physics Reports 637, 1-50, 2016
7532016
Hidden attractor in smooth Chua systems
GA Leonov, NV Kuznetsov, VI Vagaitsev
Physica D: Nonlinear Phenomena 241 (18), 1482-1486, 2012
5932012
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
4572015
Time-varying linearization and the Perron effects
GA Leonov, NV Kuznetsov
International Journal of Bifurcation and Chaos 17 (4), 1079-1107, 2007
3172007
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
2882014
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
2722011
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
2322010
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
2272015
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
2242015
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
1932015
Matlab Code for Lyapunov Exponents of Fractional-Order Systems
MF Danca, N Kuznetsov
International Journal of Bifurcation and Chaos 28 (05), 1850067, 2018
1902018
Finite-time Lyapunov dimension and hidden attractor of the Rabinovich system
NV Kuznetsov, GA Leonov, TN Mokaev, A Prasad, MD Shrimali
Nonlinear Dynamics, 2018
1842018
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
1762017
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
1722015
Controlling Dynamics of Hidden Attractors
PR Sharma, MD Shrimali, A Prasad, NV Kuznetsov, GA Leonov
International Journal of Bifurcation and Chaos, 2015
1382015
Hidden chaotic sets in a Hopfield neural system
MF Danca, N Kuznetsov
Chaos, Solitons & Fractals 103, 144-150, 2017
1372017
Hidden attractors in dynamical systems: systems with no equilibria, multistability and coexisting attractors
NV Kuznetsov, GA Leonov
IFAC Proceedings Volumes 47 (3), 5445–545, 2014
1342014
Algorithms for searching for hidden oscillations in the Aizerman and Kalman problems
GA Leonov, NV Kuznetsov
Doklady Mathematics 84 (1), 475-481, 2011
1322011
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