Existence of horseshoe maps in voltage-mode controlled buck converters

Dong Dai; Chi Kong Tse; Xi Kui Ma

doi:10.1088/1009-1963/15/11/013

Existence of horseshoe maps in voltage-mode controlled buck converters

Dong Dai, Chi Kong Tse, Xi Kui Ma

The Hong Kong Polytechnic University

Research output: Journal article publication › Journal article › Academic research › peer-review

7 Citations (Scopus)

Abstract

In this paper, chaos in a voltage-mode controlled buck converter is studied. The existence of chaos is proven theoretically in this system. The proof consists of showing that the dynamics of the system is semiconjugate to that of a one-sided shift map, which implies positive entropy of the system and hence chaotic behaviour. The essential tool is the horseshoe hypotheses proposed by Kennedy and Yorke, which will be reviewed prior to the discussion of the main finding. Phys. Soc. and IOP Publishing Ltd.

Original language	English
Article number	013
Pages (from-to)	2535-2540
Number of pages	6
Journal	Chinese Physics
Volume	15
Issue number	11
DOIs	https://doi.org/10.1088/1009-1963/15/11/013
Publication status	Published - 1 Nov 2006

Keywords

Horseshoe map
Power electronics
Proof of chaos

ASJC Scopus subject areas

General Physics and Astronomy

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10.1088/1009-1963/15/11/013

Cite this

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AB - In this paper, chaos in a voltage-mode controlled buck converter is studied. The existence of chaos is proven theoretically in this system. The proof consists of showing that the dynamics of the system is semiconjugate to that of a one-sided shift map, which implies positive entropy of the system and hence chaotic behaviour. The essential tool is the horseshoe hypotheses proposed by Kennedy and Yorke, which will be reviewed prior to the discussion of the main finding. Phys. Soc. and IOP Publishing Ltd.

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Existence of horseshoe maps in voltage-mode controlled buck converters

Abstract

Keywords

ASJC Scopus subject areas

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