Existence and multiplicity of rotating periodic solutions for resonant Hamiltonian systems
type: Item
instance of: scholarly article
title: Existence and multiplicity of rotating periodic solutions for resonant Hamiltonian systems
author: Guanggang Liu
author: Xue Yang
author: Yong Li
published in: Journal of Differential Equations
publication date: 2022-12-20T00:00:00Z
Mathematics Subject Classification ID: 37Jxx
Mathematics Subject Classification ID: 37B30
Mathematics Subject Classification ID: 37J45
zbMATH DE Number: 7635075
zbMATH Keywords: asymptotically linear Hamiltonian systems
zbMATH Keywords: rotating periodic solutions
zbMATH Keywords: Morse theory
MaRDI profile type: Publication
full work available at URL: j.jde.2018.04.001
OpenAlex ID: W2795564062
cites work: Q3899074
cites work: Periodic solutions of asymptotically linear Hamiltonian systems
cites work: PROOF OF A THEOREM OF A. N. KOLMOGOROV ON THE INVARIANCE OF QUASI-PERIODIC MOTIONS UNDER SMALL PERTURBATIONS OF THE HAMILTONIAN
cites work: Abstract critical point theorems and applications to some nonlinear problems with “strong” resonance at infinity
cites work: Critical point theory for asymptotically quadratic functionals and applications to problems with resonance
cites work: Periodic solutions of asymptotically linear dynamical systems
cites work: Infinite dimensional Morse theory and multiple solution problems
cites work: Nontrivial periodic solutions for strong resonance Hamiltonian systems
cites work: Rotating periodic solutions of second order dissipative dynamical systems
cites work: Rotating periodic solutions for second‐order dynamical systems with singularities of repulsive type
cites work: KAM-type theorem on resonant surfaces for nearly integrable Hamiltonian systems
cites work: Morse‐type index theory for flows and periodic solutions for Hamiltonian Equations
cites work: Periodic solutions of ''superquadratic'' Hamiltonian systems
cites work: Q4272029
cites work: Conditional Fredholm determinant for the \(S\)-periodic orbits in Hamiltonian systems
cites work: Trace formula for linear Hamiltonian systems with its applications to elliptic Lagrangian solutions
cites work: Q5829223
cites work: An infinite dimensional Morse theory with applications
cites work: Computations of critical groups at degenerate critical point and applications to nonlinear differential equations with resonance
cites work: A quasi-periodic Poincaré's theorem
cites work: A twist condition and periodic solutions of Hamiltonian systems
cites work: Rotating periodic solutions for asymptotically linear second-order Hamiltonian systems with resonance at infinity
cites work: Nonlinear oscillations for classical Hamiltonian systems with bi-even subquadratic potentials
cites work: Computations of critical groups and periodic solutions for asymptotically linear Hamiltonian systems
cites work: Asymptotically linear elliptic problems at resonance
cites work: Critical point theory and Hamiltonian systems
cites work: Q3294369
cites work: Periodic solutions for nonautonomous systems with nonsmooth quadratic or superquadratic potential
cites work: Non-autonomous second order Hamiltonian systems
cites work: Multiple solutions for elliptic equations at resonance
cites work: An asymptotically linear non-cooperative elliptic system with lack of compactness
cites work: Periodic solutions of hamiltonian systems
cites work: On subharmonic solutions of hamiltonian systems
cites work: Q3749777
cites work: Morse index estimates in min-max theorems
cites work: A bounded resonance problem for semilinear elliptic equations
cites work: Infinite dimensional cohomology groups and periodic solutions of asymptotically linear Hamiltonian systems
cites work: Periodic solutions for nonautonomous second order systems with sublinear nonlinearity
cites work: Multiple solutions for indefinite functionals and applications to asymptotically linear problems
cites work: Infinitely many solutions for Hamiltonian systems
DOI: 10.1016/J.JDE.2018.04.001
description: scientific article; zbMATH DE number 7635075