Nonstandard Hopf bifurcation in switched

Details Nonstandard Hopf bifurcation in switched Nonstandard Hopf bifurcation in switched

2010-01-13

arxiv.org/abs/1001.2068v1

Mathematics

Dynamical Systems

15 pages, 5 figures

Scientific paper

This paper presents an analysis on nonstandard generalized Hopf bifurcation in a class of switched systems where the lost of stability of linearized systems is not due to the crossing of their complex conjugate eigenvalues but relevant to the switching laws between the subslystems. Thus is remarkably different from the mechanism of the Hopf bifurcation and the generalized Hopf bifurcation studied in the literature.

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