Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/12741
Title: Existence of horseshoe maps in current-mode controlled buck-boost dc/dc converters
Authors: Dai, D
Ma, Y
Tse, CK 
Ma, X
Issue Date: 2005
Publisher: Pergamon Press
Source: Chaos, solitons and fractals, 2005, v. 25, no. 3, p. 549-556 How to cite?
Journal: Chaos, solitons and fractals 
Abstract: In this paper, a buck-boost dc/dc converter under a typical current-mode control 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 the 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. Moreover, the existence of chaos is also illustrated in the light of homoclinic intersections of stable and unstable manifolds.
URI: http://hdl.handle.net/10397/12741
ISSN: 0960-0779
EISSN: 1873-2887
DOI: 10.1016/j.chaos.2004.11.098
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