期刊
JOURNAL OF DIFFERENTIAL EQUATIONS
卷 250, 期 1, 页码 112-160出版社
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jde.2010.09.022
关键词
Fast-slow system; Blow up; Singular perturbation; Painleve equation
类别
The existence of stable periodic orbits and chaotic invariant sets of singularly perturbed problems of fast-slow type having Bogdanov-Takens bifurcation points in its fast subsystem is proved by means of the geometric singular perturbation method and the blow-up method In particular the blow-up method is effectively used for analyzing the flow near the Bogdanov-Takens type fold point in order to show that a slow manifold near the fold point is extended along the Boutroux s tritronquee solution of the first Painleve equation in the blow-up space (C) 2010 Elsevier Inc All rights reserved
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