387 citations · 1.5k across the 33 of their papers we have counts for
8 papers · 1 filter
Finite-time and exact Lyapunov dimension of the Henon map
N. V. Kuznetsov, G. A. Leonov, T. N. Mokaev
This work is devoted to further consideration of the Henon map with negative values of the shrinking parameter and the study of transient oscillations, multistability, and possible…
Hidden attractors in aircraft control systems with saturated inputs
B. R. Andrievsky, E. V. Kudryashova, N. V. Kuznetsov +2
In the paper, the control problem with limitations on the magnitude and rate of the control action in aircraft control systems, is studied. Existence of hidden oscillations in the…
Scenario of the Birth of Hidden Attractors in the Chua Circuit
N. V. Stankevich, N. V. Kuznetsov, G. A. Leonov +1
Recently it was shown that in the dynamical model of Chua circuit both the classical selfexcited and hidden chaotic attractors can be found. In this paper the dynamics of the Chua…
Hidden attractors on one path: Glukhovsky-Dolzhansky, Lorenz, and Rabinovich systems
G. Chen, N. V. Kuznetsov, G. A. Leonov +1
In this report, by the numerical continuation method we visualize and connect hidden chaotic sets in the Glukhovsky-Dolzhansky, Lorenz and Rabinovich systems using a certain path i…
Solution of the Gardner problem on the lock-in range of phase-locked loop
N. V. Kuznetsov, G. A. Leonov, M. V. Yuldashev +1
The lock-in frequency and lock-in range concepts were introduced in 1966 by Floyd Gardner to describe the frequency differences of phase-locked loop based circuit for which the loo…
A short survey on QPSK Costas loop mathematical models
N. V. Kuznetsov, O. A. Kuznetsova, G. A. Leonov +2
The Costas loop is a modification of the phase-locked loop circuit, which demodulates data and recovers carrier from the input signal. The Costas loop is essentially a nonlinear co…
Hausdorff--Lebesgue dimension of attractors
G. A. Leonov
In the present paper the classical ideas of Hausdorff and Lebesgue are combined and the Hausdorff--Lebesgue measure is introduced. This makes it possible to obtain new results in c…
Hidden and self-excited attractors in Chua circuit: SPICE simulation and synchronization
M. A. Kiseleva, E. V. Kudryashova, N. V. Kuznetsov +4
Nowadays various chaotic secure communication systems based on synchronization of chaotic circuits are widely studied. To achieve synchronization, the control signal proportional t…