HORSESHOE CHAOS IN A HYBRID PLANAR DYNAMICAL SYSTEM

Author:

FAN QING-JU1

Affiliation:

1. Department of Statistics, Wuhan University of Technology, Wuhan 430063, P. R. China

Abstract

In this paper, we study the chaotic dynamics of a voltage-mode controlled buck converter, which is typically a switched piecewise linear system. For the two-dimensional hybrid system, we consider a properly chosen cross-section and the corresponding Poincaré map, and show that the dynamics of the system is semi-conjugate to a 2-shift map, which implies the chaotic behavior of this system. The essential tool is a topological horseshoe theory and numerical method.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modeling and Simulation,Engineering (miscellaneous)

Cited by 8 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Horseshoes in 4-dimensional piecewise affine systems with bifocal heteroclinic cycles;Chaos: An Interdisciplinary Journal of Nonlinear Science;2018-11

2. A Note on Hidden Transient Chaos in the Lorenz System;International Journal of Nonlinear Sciences and Numerical Simulation;2017-07-26

3. Amplitude-Phase Modulation, Topological Horseshoe and Scaling Attractor of a Dynamical System;Communications in Theoretical Physics;2016-09-01

4. Local bifurcation analysis and topological horseshoe of a 4D hyper-chaotic system;Nonlinear Dynamics;2015-10-30

5. On hidden twin attractors and bifurcation in the Chua’s circuit;Nonlinear Dynamics;2014-02-19

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