Horseshoes, homoclinic connections and global chaos in current-mode controlled DC/DC converters

Dong Dai, Yue Ma, Chi Kong Tse

Research output: Journal article publicationConference articleAcademic researchpeer-review


In this paper, 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 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
Article number1464876
Pages (from-to)1469-1472
Number of pages4
JournalProceedings - IEEE International Symposium on Circuits and Systems
Publication statusPublished - 1 Dec 2005
EventIEEE International Symposium on Circuits and Systems 2005, ISCAS 2005 - Kobe, Japan
Duration: 23 May 200526 May 2005

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

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