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Bifurcation of homoclinics

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 27 Sep 2007 English Publisher:American Mathematical Society (AMS)Journal:Proceedings of the American Mathematical Society, volume 136, pages 111-118 (issn: 0002-9939, eissn: 1088-6826, Copyright policy )
Authors: PEJSACHOWICZ, JACOBO;

doi: 10.1090/s0002-9939-07-09088-0

handle: 11583/1503043

Bifurcation of homoclinics

Abstract

We show that homoclinic trajectories of nonautonomous vector fields parametrized by a circle bifurcate from the stationary solution when the asymptotic stable bundles of the linearization at plus and minus infinity are “twisted” in different ways.

Related Organizations
Keywords

Applied Mathematics, General Mathematics, Homoclinics; Index bundle; Fredholm

  • BIP!
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    citations
    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 8
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    		 Average
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 Average
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    		 Average
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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
8
Average
Average
Average
Green
hybrid