Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4613305 | Journal of Differential Equations | 2007 | 20 Pages |
Abstract
In this paper we discuss a small nonautonomous perturbation of an autonomous system on Rn which has a homoclinic solution. Regarding the small perturbation as a parameter in an appropriate space of functions we discuss various situations of co-existence of homoclinic orbits. Those conditions of various co-existence actually define bifurcation manifolds in the space of functions for linearly independent homoclinic bifurcations.
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