Bifurcation of homoclinics

Pejsachowicz, Jacobo

doi:10.1090/S0002-9939-07-09088-0

Bifurcation of homoclinics
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by Jacobo Pejsachowicz PDF

Proc. Amer. Math. Soc. 136 (2008), 111-118 Request permission

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.

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