Existence of horseshoes and homoclinic connections in DC/DC converters

Dong Dai, Yue Ma, Chi Kong Tse

Research output: Journal article publicationJournal articleAcademic researchpeer-review

4 Citations (Scopus)

Abstract

In this letter, chaos in a current-mode controlled boost converter is studied. Firstly, 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 behavior. The essential tool is the horseshoe hypotheses proposed by Kennedy and Yorke, which will be reviewed prior to the discussion of the main finding. Then, the existence of chaos is illustrated in the light of homoclinic connection. Furthermore, global chaos resulting from homoclinic intersection of stable and unstable manifolds are illustrated numerically.
Original languageEnglish
Pages (from-to)3337-3344
Number of pages8
JournalInternational Journal of Bifurcation and Chaos in Applied Sciences and Engineering
Volume15
Issue number10
DOIs
Publication statusPublished - 1 Jan 2005

Keywords

  • Homoclinic connection
  • Horseshoe map
  • Power converters
  • Proof of chaos

ASJC Scopus subject areas

  • Modelling and Simulation
  • Applied Mathematics

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