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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Displaying similar documents to “Multiple homoclinic solutions for a class of autonomous singular systems in R2”
Homoclinic orbits for a singular second order hamiltonian system
Heteroclinic orbits for spatially periodic hamiltonian systems
P. L. Felmer (1991)
Annales de l'I.H.P. Analyse non linéaire
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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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Non-collision orbits for a class of keplerian-like potentials
Antonio Ambrosetti, Vittorio Coti Zelati (1988)
Annales de l'I.H.P. Analyse non linéaire
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Homoclinic orbits for a class of singular second order Hamiltonian systems in ℝ3
Joanna Janczewska, Jakub Maksymiuk (2012)
Open Mathematics
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We consider a conservative second order Hamiltonian system in ℝ3 with a potential V having a global maximum at the origin and a line l ∩ 0 = ϑ as a set of singular points. Under a certain compactness condition on V at infinity and a strong force condition at singular points we study, by the use of variational methods and geometrical arguments, the existence of homoclinic solutions of the system.
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.