Bifurcation of homoclinics of Hamiltonian systems

Pejsachowicz, Jacobo

doi:10.1090/S0002-9939-08-09342-8

Bifurcation of homoclinics of Hamiltonian systems
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Proc. Amer. Math. Soc. 136 (2008), 2055-2065 Request permission

Abstract:

We obtain sufficient conditions for bifurcation of homoclinic trajectories of nonautonomous Hamiltonian vector fields parametrized by a circle, together with estimates for the number of bifurcation points in terms of the Maslov index of the asymptotic stable and unstable bundles of the linearization at the stationary branch.

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