Stability of periodic orbits by Conley-Zehnder index theory

DOI10.1016/j.jde.2022.01.020zbMath1494.37037arXiv1807.05171OpenAlexW4221033713MaRDI QIDQ2074457

Yanxia Deng, Daniel C. Offin

Publication date: 10 February 2022

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

Full work available at URL: https://arxiv.org/abs/1807.05171

zbMATH Keywords

stabilityinstabilityMathieu equationforced pendulumConley-Zehnder indexdouble cover

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20) Index theory for dynamical systems, Morse-Conley indices (37B30) Stability problems for finite-dimensional Hamiltonian and Lagrangian systems (37J25) Action-minimizing orbits and measures for finite-dimensional Hamiltonian and Lagrangian systems; variational principles; degree-theoretic methods (37J51)

Related Items

Planar Hamiltonian systems: index theory and applications to the existence of subharmonics

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