Existence and multiplicity of rotating periodic solutions for resonant Hamiltonian systems

DOI10.1016/j.jde.2018.04.001OpenAlexW2795564062MaRDI QIDQ2109130

Guanggang Liu, Xue Yang, Yong Li

Publication date: 20 December 2022

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

Full work available at URL: https://doi.org/10.1016/j.jde.2018.04.001

zbMATH Keywords

Morse theoryasymptotically linear Hamiltonian systemsrotating periodic solutions

Mathematics Subject Classification ID

Related Items (20)

Affine-periodic solutions by asymptotic and homotopy equivalence ⋮ Synchronization, symmetry and rotating periodic solutions in oscillators with Huygens' coupling ⋮ Affine-periodic solutions by asymptotic method ⋮ Rotating periodic integrable solutions for second-order differential systems with nonresonance condition ⋮ Lyapunov center theorem on rotating periodic orbits for Hamiltonian systems ⋮ Estimates for \(\delta\)-periodic eigenvalues of two-component Novikov system ⋮ Infinitely many rotating periodic solutions for second-order Hamiltonian systems ⋮ Affine‐periodic orbits for linear dynamical systems ⋮ Existence and multiplicity of rotating periodic solutions for Hamiltonian systems with a general twist condition ⋮ Existence of nontrivial rotating periodic solutions for second-order Hamiltonian systems ⋮ The mechanism of rotating waves in a ring of unidirectionally coupled Lorenz systems ⋮ Rotating periodic solutions for convex Hamiltonian systems ⋮ Pseudo affine-periodic solutions for delay differential systems ⋮ Affine-periodic solutions for higher order differential equations ⋮ Affine-periodic solutions for impulsive differential systems ⋮ Existence of rotating-periodic solutions for nonlinear second order vector differential equations ⋮ Rotating periodic patterns in reaction diffusion systems ⋮ Rotating periodic solutions in complete degeneracy ⋮ Infinitely many rotating periodic solutions for local superquadratic damped Hamiltonian systems with sublinear impulsive effects ⋮ LaSalle stationary oscillation theorem for affine periodic dynamic systems on time scales

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