Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/29193
Title: Existence of horseshoes and homoclinic connections in DC/DC converters
Authors: Dai, D
Ma, Y
Tse, CK 
Keywords: Homoclinic connection
Horseshoe map
Power converters
Proof of chaos
Issue Date: 2005
Source: International journal of bifurcation and chaos in applied sciences and engineering, 2005, v. 15, no. 10, p. 3337-3344 How to cite?
Journal: International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 
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.
URI: http://hdl.handle.net/10397/29193
ISSN: 0218-1274
DOI: 10.1142/S0218127405013939
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