Infinitely many homoclinic solutions for perturbed second-order Hamiltonian systems with subquadratic potentials

DOI10.14232/EJQTDE.2020.1.9zbMath1463.34168OpenAlexW3007010931MaRDI QIDQ4968970

Liang Zhang, Guan-Wei Chen

Publication date: 2 October 2020

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

Full work available at URL: https://doi.org/10.14232/ejqtde.2020.1.9

zbMATH Keywords

homoclinic solutionsHamiltonian systembroken symmetrysubquadratic potentialRabinowitz's perturbation method

Mathematics Subject Classification ID

Symmetries, invariants of ordinary differential equations (34C14) Perturbations, asymptotics of solutions to ordinary differential equations (34E10) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Periodic, homoclinic and heteroclinic orbits of finite-dimensional Hamiltonian systems (37J46)

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