Homoclinic orbits for first order Hamiltonian systems possessing super-quadratic potentials

DOI10.1016/S0362-546X(01)00820-3zbMath1033.37031MaRDI QIDQ697529

Xiangjin Xu

Publication date: 17 September 2002

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

zbMATH Keywords

Hamiltonian systemshomoclinic solutionsvariational method

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items (3)

Existence of subharmonic solutions and homoclinic orbits for a class of even higher order differential equations ⋮ Infinitely many homoclinic orbits for the second-order Hamiltonian systems with super-quadratic potentials ⋮ Homoclinic orbits of superlinear Hamiltonian systems

Cites Work

• Unnamed Item
• First order elliptic systems and the existence of homoclinic orbits in Hamiltonian systems
• Homoclinic orbits in a first order superquadratic Hamiltonian system: Convergence of subharmonic orbits
• Homoclinic solutions of Hamiltonian systems with symmetry
• Homoclinic orbits of a Hamiltonian system
• Homoclinic Orbits for Second Order Hamiltonian Systems Possessing Superquadratic Potentials
• Infinitely many homoclinic orbits of a Hamiltonian system with symmetry
• Homoclinic orbits for a class of Hamiltonian systems
• Periodic solutions for a class of nonautonomous Hamiltonian systems

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