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Bifurcations of Chaotic Attractors in a Piecewise Smooth Lorenz-Type System

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Abstract

We study the dynamics of a piecewise-smooth system of differential equations for which the existence of a strange Lorenz-type attractor had been rigorously proved previously and bifurcation mechanisms of its birth had been obtained. In this work we discuss the destruction of this attractor due to the appearance of sliding motions in its structure. Using qualitative and numerical methods, we study a complex sequence of attractor bifurcations that leaves in the system a globally stable limit cycle. We show that this sequence is based on C-bifurcations and bifurcations of multi-loop homoclinic trajectories.

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Authors and Affiliations

  1. Volga State University of Water Transport, Nizhny Novgorod, Russia

    V.N. Belykh & N.V. Barabash

  2. Lobachevsky Nizhny Novgorod State University, Nizhny Novgorod, Russia

    I.V. Belykh

  3. Georgia State University, Atlanta, USA

    I.V. Belykh

Authors
  1. V.N. Belykh
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  2. N.V. Barabash
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  3. I.V. Belykh
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Belykh, V., Barabash, N. & Belykh, I. Bifurcations of Chaotic Attractors in a Piecewise Smooth Lorenz-Type System. Autom Remote Control 81, 1385–1393 (2020). https://doi.org/10.1134/S0005117920080020

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