Existence of nontrivial rotating periodic solutions for second-order Hamiltonian systems

DOI10.1016/j.aml.2023.108630zbMath1530.37086MaRDI QIDQ6167218

Tiefeng Ye, Tengfei Shen, Wenbin Liu

Publication date: 7 July 2023

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

zbMATH Keywords

index theoryLeray-Schauder degree theorysecond-order Hamiltonian systemsrotating periodic solutions

Mathematics Subject Classification ID

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)

Cites Work

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• Rotating periodic solutions of second order dissipative dynamical systems
• Infinitely many rotating periodic solutions for suplinear second-order impulsive Hamiltonian systems
• Rotating periodic solutions for super-linear second order Hamiltonian systems
• Existence and multiplicity of rotating periodic solutions for resonant Hamiltonian systems
• Index theory, nontrivial solutions, and asymptotically linear second-order Hamiltonian systems
• Rotating periodic solutions for asymptotically linear second-order Hamiltonian systems with resonance at infinity
• Rotating periodic solutions for second‐order dynamical systems with singularities of repulsive type

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