On homoclinic and heteroclinic orbits of Hamiltonian systems

zbMath0897.34045MaRDI QIDQ1386255

Philip Korman, Alan C. Lazer, Yi Li

Publication date: 17 May 1998

Published in: Differential and Integral Equations (Search for Journal in Brave)

zbMATH Keywords

heteroclinic orbithomoclinic orbitHamiltonian systemmountain pass lemma

Mathematics Subject Classification ID

Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items (14)

Existence of homoclinic solutions for a class of asymptotically quadratic non-autonomous Hamiltonian systems ⋮ Existence of fast homoclinic solutions for a class of second-order damped vibration systems ⋮ The heteroclinic connection problem for general double-well potentials ⋮ Fast homoclinic solutions for some second order non-autonomous systems ⋮ Existence of homoclinic orbits for a class of asymptotically \(p\)-linear aperiodic \(p\)-Laplacian systems ⋮ Existence of fast homoclinic orbits for a class of second-order non-autonomous problems ⋮ Existence and multiplicity of fast homoclinic solutions for a class of nonlinear second-order nonautonomous systems in a weighted Sobolev space ⋮ Homoclinic solutions for a class of second order Hamiltonian systems ⋮ Solutions of second-order and fourth-order ODEs on the half-line ⋮ New existence and multiplicity results of homoclinic orbits for a class of second order Hamiltonian systems ⋮ Existence of infinitely many homoclinic orbits for a class of aperiodic systems via variational methods ⋮ Existence of heteroclinic solution for a class of non-autonomous second-order equation ⋮ Existence of heteroclinic solutions for a class of problems involving the fractional Laplacian ⋮ TWO ALMOST HOMOCLINIC SOLUTIONS FOR A CLASS OF PERTURBED HAMILTONIAN SYSTEMS WITHOUT COERCIVE CONDITIONS

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