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Title: Bifurcation analysis of switched dynamical systems with periodically moving borders
Authors: Ma, Y
Kawakami, H
Tse, CKM 
Issue Date: Jun-2004
Source: IEEE transactions on circuits and systems. I, Regular papers, June 2004, v. 51, no. 6, p. 1184-1193
Abstract: This paper describes a method for analyzing the bifurcation phenomena in switched dynamical systems whose switching borders are varying periodically with time. The type of systems under study covers most of power electronics circuits where two or more dynamical systems are cyclically switched according to the interaction of the state variables and some periodically moving borders. In particular, the complex bifurcation behavior of a voltage feedback buck converter is studied in detail. The analytical method developed in this paper allows bifurcation scenarios to be clearly revealed in any chosen parameter space.
Keywords: Bifurcation
Border collision
Buck converter
Moving border
Switched dynamical system
Switching converter
Publisher: Institute of Electrical and Electronics Engineers
Journal: IEEE transactions on circuits and systems. I, Regular papers 
ISSN: 1549-8328
EISSN: 1558-0806
DOI: 10.1109/TCSI.2004.829240
Rights: © 2004 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.
This material is presented to ensure timely dissemination of scholarly and technical work. Copyright and all rights therein are retained by authors or by other copyright holders. All persons copying this information are expected to adhere to the terms and constraints invoked by each author's copyright. In most cases, these works may not be reposted without the explicit permission of the copyright holders.
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