Homoclinic orbits on non-compact riemannian manifolds for second order hamiltonian systems

Fabio Giannoni; Louis Jeanjean; Kazunaga Tanaka

Displaying similar documents to “Homoclinic orbits on non-compact riemannian manifolds for second order hamiltonian systems”

Multiple homoclinic orbits for a class of conservative systems

Antonio Ambrosetti, Vittorio Coti Zelati (1993)

Rendiconti del Seminario Matematico della Università di Padova

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On the multiplicity of brake orbits and homoclinics in Riemannian manifolds

Roberto Giambò, Fabio Giannoni, Paolo Piccione (2005)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

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Let $(M, g)$ be a complete Riemannian manifold, $Ω \subset M$ an open subset whose closure is diffeomorphic to an annulus. If $\partial Ω$ is smooth and it satisfies a strong concavity assumption, then it is possible to prove that there are at least two geometrically distinct geodesics in $\bar{Ω} = Ω ⋃ \partial Ω$ starting orthogonally to one connected component of $\partial Ω$ and arriving orthogonally onto the other one. The results given in [5] allow to obtain a proof of the existence of two distinct homoclinic orbits for an autonomous Lagrangian...

Multiple homoclinic solutions for a class of autonomous singular systems in R2

Paolo Caldiroli, Margherita Nolasco (1998)

Annales de l'I.H.P. Analyse non linéaire

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Heteroclinic orbits for spatially periodic hamiltonian systems

P. L. Felmer (1991)

Annales de l'I.H.P. Analyse non linéaire

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Multiplicity of homoclinic orbits for a class of asymptotically periodic Hamiltonian systems

Piero Montecchiari (1993)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

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We prove the existence of infinitely many geometrically distinct homoclinic orbits for a class of asymptotically periodic second order Hamiltonian systems.

Homoclinic orbits for a singular second order hamiltonian system

Kazunaga Tanaka (1990)

Annales de l'I.H.P. Analyse non linéaire

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