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

Paolo Caldiroli; Margherita Nolasco

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

Kazunaga Tanaka (1990)

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Heteroclinic orbits for spatially periodic hamiltonian systems

P. L. Felmer (1991)

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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)

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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 $\ddot{q} + \nabla V (q) = 0$ 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.