387 citations · 401 across the 7 of their papers we have counts for
10 papers
The Lyapunov dimension, convergency and entropy for a dynamical model of Chua memristor circuit
G. A. Leonov, N. V. Kuznetsov
For the study of chaotic dynamics and dimension of attractors the concepts of the Lyapunov exponents was found useful and became widely spread. Such characteristics of chaotic beha…
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…
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…
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…
Lock-in range of classical PLL with impulse signals and proportionally-integrating filter
K. D. Aleksandrov, N. V. Kuznetsov, G. A. Leonov +2
In the present work the model of PLL with impulse signals and active PI filter in the signal's phase space is described. For the considered PLL the lock-in range is computed analyt…