387 citations · 1.5k across the 33 of their papers we have counts for
33 papers
On the Keldysh Problem of Flutter Suppression
N. V. Kuznetsov, G. A. Leonov
This work is devoted to the Keldysh model of flutter suppression and rigorous approaches to its analysis. To solve the stabilization problem in the Keldysh model we use an analog o…
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…
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…