A twist condition and periodic solutions of Hamiltonian systems

DOI10.1016/j.aim.2008.03.024zbMath1144.37027OpenAlexW2097548210MaRDI QIDQ936537

Zhaoli Liu, Zhi-Qiang Wang, Jiabao Su

Publication date: 14 August 2008

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aim.2008.03.024

zbMATH Keywords

periodic solutionsMorse indexConley-Zehnder index

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Hamilton's equations (70H05) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25)

Related Items

A multiplicity result for a class of strongly indefinite asymptotically linear second order systems, Existence and exponential stability of periodic solutions for a class of Hamiltonian systems on time scales, Homoclinic orbits for a class of nonperiodic Hamiltonian systems with some twisted conditions, Periodic solutions for asymptotically linear Hamiltonian system with resonance both at infinity and origin via computation of critical groups, Homoclinic orbits for first order Hamiltonian systems with some twist conditions, A new index theory for linear self-adjoint operator equations and its applications, Existence and multiplicity of rotating periodic solutions for Hamiltonian systems with a general twist condition, Some abstract critical point theorems for self-adjoint operator equations and applications, Homoclinic orbits for second-order Hamiltonian systems with some twist condition, A coupled \(p\)-Laplacian elliptic system: existence, uniqueness and asymptotic behavior, Resonance and rotation numbers for planar Hamiltonian systems: multiplicity results via the Poincaré-Birkhoff theorem, A twist condition and multiple solutions of unbounded self-adjoint operator equation with symmetries, Existence and multiplicity of rotating periodic solutions for resonant Hamiltonian systems

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