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20152018
most citedHomoclinic orbits, and self-excited and hidden attractors in a Lorenz-like system describing convective fluid motion

387 citations · 401 across the 7 of their papers we have counts for

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nlin.CD2018

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…

nlin.CD20173 cited

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…

nlin.CD2017

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…

nlin.CD2015387 cited

Homoclinic orbits, and self-excited and hidden attractors in a Lorenz-like system describing convective fluid motion

G. A. Leonov, N. V. Kuznetsov, T. N. Mokaev

In this tutorial, we discuss self-excited and hidden attractors for systems of differential equations. We considered the example of a Lorenz-like system derived from the well-known…

nlin.CD20155 cited

Estimation of Lyapunov dimension for the Chen and Lu systems

G. A. Leonov, N. V. Kuznetsov, N. A. Korzhemanova +1

Nowadays various estimates of Lyapunov dimension of Lorenz-like systems attractors are actively developed. Within the frame of this study the question arises whether it is possible…