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HORSESHOE CHAOS IN A HYBRID PLANAR DYNAMICAL SYSTEM

QING-JU FAN

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

https://doi.org/10.1142/S0218127412502021Cited by:7 (Source: Crossref)

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.

Keywords:

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