Rotating periodic solutions for super-linear second order Hamiltonian systems

DOI10.1016/j.aml.2017.11.024zbMath1461.37065OpenAlexW2773360044MaRDI QIDQ1996381

Guanggang Liu, Xue Yang, Yong Li

Publication date: 4 March 2021

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2017.11.024

zbMATH Keywords

Morse theorysecond-order Hamiltonian systemsrotating periodic solutions

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Action-minimizing orbits and measures for finite-dimensional Hamiltonian and Lagrangian systems; variational principles; degree-theoretic methods (37J51) Periodic, homoclinic and heteroclinic orbits of finite-dimensional Hamiltonian systems (37J46)

Related Items

Affine-periodic solutions by asymptotic method ⋮ Rotational periodic solutions for fractional iterative systems ⋮ Rotating periodic integrable solutions for second-order differential systems with nonresonance condition ⋮ Infinitely many rotating periodic solutions for second-order Hamiltonian systems ⋮ Existence of nontrivial rotating periodic solutions for second-order Hamiltonian systems ⋮ Rotating periodic solutions for convex Hamiltonian systems ⋮ Affine-periodic solutions for higher order differential equations ⋮ Affine-periodic solutions for impulsive differential systems ⋮ Rotating periodic solutions in complete degeneracy ⋮ LaSalle stationary oscillation theorem for affine periodic dynamic systems on time scales

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