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Bifurcation of an Orbit Homoclinic to a Hyperbolic Saddle of a Vector Field in R4

We perform a bifurcation analysis of an orbit homoclinic to a hyperbolic saddle of a vector field in R4. We give an expression of the gap between returning points in a transverse section by renormalizing system, through which we find the existence of homoclinic-doubling bifurcation in the case 1+α>β...

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Bibliografische Detailangaben
Hauptverfasser: Tiansi Zhang, Dianli Zhao
Format: Artigo
Sprache:Inglês
Veröffentlicht: Wiley 2015-01-01
Schriftenreihe:Discrete Dynamics in Nature and Society
Online-Zugang:http://dx.doi.org/10.1155/2015/571838
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