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• W2076164089 abstract "We consider an autonomous Hamiltonian systemü+∇V(u)=0 where the potentialV : R2{ξ}→Rhas a strict global maximum at the origin and a singularity at some pointξ≠0. Under some compactness conditions onVat infinity and around the singularityξwe study the existence of homoclinic orbits to 0 winding aroundξ. We use a sufficient, and in some sense necessary, geometrical condition (∗) onVto prove the existence of infinitely many homoclinics, each one being characterized by a distinct winding number aroundξ. Moreover, under the condition (∗) there exists a minimal non contractible periodic orbitūand we establish the existence of a heteroclinic orbit from 0 toū. This connecting orbit is obtained as the limit in theC1loctopology of a sequence of homoclinics with a winding number larger and larger." @default.
• W2076164089 created "2016-06-24" @default.
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• W2076164089 date "1997-05-01" @default.
• W2076164089 modified "2023-10-03" @default.
• W2076164089 title "Homoclinics and Heteroclinics for a Class of Conservative Singular Hamiltonian Systems" @default.
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• W2076164089 doi "https://doi.org/10.1006/jdeq.1996.3230" @default.
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