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Bifurcations of a Pair of Nonorientable Heteroclinic Cycles

โœ Scribed by Qi Dongwen; Jing Zhujun

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
238 KB
Volume
222
Category
Article
ISSN
0022-247X

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โœฆ Synopsis

In this paper we study the bifurcations of a pair of nonorientable heteroclinic cycles. In addition to the obvious and important bifurcation ''โ€-explosion,'' several other bifurcations, for example, homoclinic and heteroclinic bifurcation behaviors, are described in terms of symbolic sequences and symbolic descriptions of trajectories staying forever in a sufficiently small neighborhood of the cycles are established.

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