387 citations · 832 across the 14 of their papers we have counts for
6 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…
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…
Nonlinear analysis of PLL by the harmonic balance method
E. V. Kudryashova, N. V. Kuznetsov, G. A. Leonov +2
In this paper we discuss the application of the harmonic balance method for the global analysis of the classical phase-locked loop (PLL) circuit. The harmonic balance is non rigoro…
Optical Costas loop: pull-in range estimation and hidden oscillations
N. V. Kuznetsov, G. A. Leonov, S. M. Seledzhi +2
In this work we consider a mathematical model of the optical Costas loop. The pull-in range of the model is estimated by analytical and numerical methods. Difficulties of numerical…
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…