Variational and penalization methods for studying connecting orbits of Hamiltonian systems.
Chen, Chao-Nien, Tzeng, Shyuh-yaur (2000)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Displaying similar documents to “Existence and multiplicity results for homoclinic orbits of Hamiltonian systems.”
Variational and penalization methods for studying connecting orbits of Hamiltonian systems.
Multibump solutions for an almost periodically forced singular Hamiltonian system.
Rabinowitz, Paul H. (1995)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Infinitely many homoclinic orbits for Hamiltonian systems with group symmetries.
Lee, Cheng (1999)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Multichain-type solutions for Hamiltonian systems.
Rabinowitz, Paul H., Coti Zelati, Vittorio (2000)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Scattered homoclinics to a class of time-recurrent Hamiltonian systems
Gregory S. Spradlin (2007)
ESAIM: Control, Optimisation and Calculus of Variations
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A second-order Hamiltonian system with time recurrence is studied. The recurrence condition is weaker than almost periodicity. The existence is proven of an infinite family of solutions homoclinic to zero whose support is spread out over the real line.
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.
Gluing approximate solutions of minimum type on the Nehari manifold.
Li, Yanyan, Wang, Zhi-Qiang (2001)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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On critical points for noncoercive functionals and subharmonic solutions of some Hamiltonian systems.
Schmitt, Klaus, Wang, Zhi-Qiang (2000)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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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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Homoclinic orbits for a class of symmetric Hamiltonian systems.
Korman, Philip, Lazer, Alan C. (1994)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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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.