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

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 th...

Full description

Saved in:
Bibliographic Details
Published in:Automation and remote control 2020-08, Vol.81 (8), p.1385-1393
Main Authors: Belykh, V.N., Barabash, N.V., Belykh, I.V.
Format: Article
Language:English
Subjects:
639/301/1034/1035
639/925/357/995
Attractors (mathematics)
Bifurcations
CAE) and Design
Calculus of Variations and Optimal Control
Optimization
Chaos theory
Computer-Aided Engineering (CAD
Control
Differential equations
Mathematics
Mathematics and Statistics
Mechanical Engineering
Mechatronics
Numerical methods
Robotics
Systems Theory
Topical Issue
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:0005-1179
1608-3032
DOI:10.1134/S0005117920080020