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

Dong Dai; Yue Ma; Chi Kong Tse

doi:10.1109/ISCAS.2005.1464876

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

Dong Dai, Yue Ma, Chi Kong Tse

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

Abstract

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 language	English
Article number	1464876
Pages (from-to)	1469-1472
Number of pages	4
Journal	Proceedings - IEEE International Symposium on Circuits and Systems
DOIs	https://doi.org/10.1109/ISCAS.2005.1464876
Publication status	Published - 1 Dec 2005
Event	IEEE International Symposium on Circuits and Systems 2005, ISCAS 2005 - Kobe, Japan Duration: 23 May 2005 → 26 May 2005

ASJC Scopus subject areas

Electrical and Electronic Engineering

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10.1109/ISCAS.2005.1464876

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

abstract = "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.",

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AU - Ma, Yue

AU - Tse, Chi Kong

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Y1 - 2005/12/1

N2 - 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.

AB - 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.

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M3 - Conference article

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JO - Proceedings - IEEE International Symposium on Circuits and Systems

JF - Proceedings - IEEE International Symposium on Circuits and Systems

M1 - 1464876

T2 - IEEE International Symposium on Circuits and Systems 2005, ISCAS 2005

Y2 - 23 May 2005 through 26 May 2005

ER -

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

Abstract

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