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Title: A subtle link in switched dynamical systems : saddle-node bifurcation meets border collision
Authors: Ma, Y
Tse, CK 
Kousaka, T
Kawakami, H
Keywords: DC-DC power convertors
Issue Date: 2005
Publisher: IEEE
Source: IEEE International Symposium on Circuits and Systems, 2005 : ISCAS 2005, 23-26 May 2005, v. 6, p. 6050-6053 How to cite?
Abstract: Switched dynamical systems are known to exhibit border collision, in which a particular operation is terminated and a new operation is assumed as one or more parameters are varied. We report a subtle relation between border collision and saddle-node bifurcation in such systems. Our main finding is that the border collision and the saddle-node bifurcation are actually linked together by unstable solutions which have been generated from the same saddle-node bifurcation. Since unstable solutions are not observable directly, such a subtle relation has not been known. We describe an effective method to track solutions regardless of their stability, allowing the subtle phenomenon to be uncovered. Two typical DC-DC converters are observed to verify our finding.
ISBN: 0-7803-8834-8
DOI: 10.1109/ISCAS.2005.1466019
Appears in Collections:Conference Paper

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