Share This Author
Time-Varying Linearization and the Perron Effects
- G. Leonov, N. Kuznetsov
- GeologyInt. J. Bifurc. Chaos
- 1 April 2007
In the present survey, the contemporary state of the art of the problem of the justification of nonstationary linearizations is presented.
Localization of hidden Chuaʼs attractors
- G. Leonov, N. Kuznetsov, V. I. Vagaitsev
- Physics
- 6 June 2011
Hidden attractors in Dynamical Systems. From Hidden oscillations in Hilbert-Kolmogorov, Aizerman, and Kalman Problems to Hidden Chaotic Attractor in Chua Circuits
- G. Leonov, N. Kuznetsov
- PhysicsInt. J. Bifurc. Chaos
- 5 March 2013
TLDR
Hold-In, Pull-In, and Lock-In Ranges of PLL Circuits: Rigorous Mathematical Definitions and Limitations of Classical Theory
- G. Leonov, N. Kuznetsov, M. Yuldashev, R. Yuldashev
- Computer ScienceIEEE Transactions on Circuits and Systems I…
- 16 May 2015
TLDR
Algorithms for finding hidden oscillations in nonlinear systems. The Aizerman and Kalman conjectures and Chua’s circuits
- V. O. Bragin, V. I. Vagaitsev, N. Kuznetsov, G. Leonov
- Mathematics
- 1 August 2011
An algorithm for searching hidden oscillations in dynamic systems is developed to help solve the Aizerman’s, Kalman’s and Markus-Yamabe’s conjectures well-known in control theory. The first step of…
Hidden attractors in dynamical systems
- Dawid Dudkowski, S. Jafari, T. Kapitaniak, N. Kuznetsov, G. Leonov, A. Prasad
- Mathematics
- 3 June 2016
Algorithm for localizing Chua attractors based on the harmonic linearization method
- G. Leonov, V. I. Vagaitsev, N. Kuznetsov
- Physics
- 20 August 2010
The method of harmonic linearization, numerical methods, and the applied bifurcation theory together discover new opportunities for analysis of hidden attractors of control systems. In the present…
Hidden attractor in smooth Chua systems
- G. Leonov, N. Kuznetsov, V. I. Vagaitsev
- Physics
- 15 September 2012
Hidden oscillations in dynamical systems
- G. Leonov, N. Kuznetsov, S. Seledzhi
- Physics
- 1 February 2011
The classical attractors of Lorenz, Rossler, Chua, Chen, and other widely-known attractors are those excited from unstable equilibria. From computational point of view this allows one to use…
Analytical-numerical method for attractor localization of generalized Chua's system
- N. Kuznetsov, G. Leonov, V. I. Vagaitsev
- Physics, EngineeringPSYCO
- 2010
TLDR
...
...