Periodic solutions and their connecting orbits of Hamiltonian systems.

DOI10.1006/jdeq.2000.3996zbMath1087.37051OpenAlexW2056190635MaRDI QIDQ5958945

Shyuh-yaur Tzeng, Chao-Nien Chen

Publication date: 2001

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/21a5903dc997c39e15d437f14a45756528195321

zbMATH Keywords

periodic solutionscalculus of variationsHamiltonian systemconnecting orbits

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) Periodic solutions to ordinary differential equations (34C25) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05)

Related Items (8)

Connecting orbits for Newtonian-like \(N\)-body problems ⋮ Maslov index for homoclinic orbits of Hamiltonian systems ⋮ Pinned solutions in a heterogeneous three-component FitzHugh-Nagumo model ⋮ Standing pulses in almost periodic channels ⋮ Standing pulse solutions to FitzHugh-Nagumo equations ⋮ The existence of heteroclinic orbits for a class of the second-order Hamiltonian system ⋮ Heteroclinic solutions for a class of the second order Hamiltonian systems ⋮ Spike solutions for a mass conservation reaction-diffusion system

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