Existence of horseshoe maps in voltage-mode controlled buck converters

Dong Dai, Chi Kong Tse, Xi Kui Ma

Research output: Journal article publicationJournal articleAcademic researchpeer-review

7 Citations (Scopus)


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 languageEnglish
Article number013
Pages (from-to)2535-2540
Number of pages6
JournalChinese Physics
Issue number11
Publication statusPublished - 1 Nov 2006


  • Horseshoe map
  • Power electronics
  • Proof of chaos

ASJC Scopus subject areas

  • General Physics and Astronomy


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