387 citations · 401 across the 7 of their papers we have counts for
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Theory of differential inclusions and its application in mechanics
Maria Kiseleva, Nikolay Kuznetsov, Gennady Leonov
The following chapter deals with systems of differential equations with discontinuous right-hand sides. The key question is how to define the solutions of such systems. The most ad…
Homoclinic Bifurcations of the Merging Strange Attractors in the Lorenz-like System
G. A. Leonov, R. N. Mokaev, N. V. Kuznetsov +1
In this article we construct the parameter region where the existence of a homoclinic orbit to a zero equilibrium state of saddle type in the Lorenz-like system will be analyticall…
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…
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…
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…