Homoclinic orbits for first order Hamiltonian systems with some twist conditions

DOI10.1007/S10114-015-4444-9zbMath1361.37062OpenAlexW2233260309MaRDI QIDQ889444

Yuan Shan

Publication date: 6 November 2015

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-015-4444-9

zbMATH Keywords

homoclinic solutionsindex theoryfirst-order Hamiltonian systemtwist conditions

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Eigenvalue problems for linear operators (47A75) Index theory and related fixed-point theorems on manifolds (58J20) Quadratic and bilinear forms, inner products (15A63)

Related Items (2)

Relative Morse index and multiple homoclinic orbits for a nonperiodic Hamiltonian system ⋮ Homoclinic solutions near the origin for a class of first order Hamiltonian systems

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