Subharmonic Melnikov functions and nonintegrability for autonomous and non-autonomous perturbations of single-degree-of-freedom Hamiltonian systems near periodic orbits

DOI10.1016/J.PHYSD.2024.134088WikidataQ128541553 ScholiaQ128541553MaRDI QIDQ6496491

Shoya Motonaga

Publication date: 3 May 2024

Published in: Physica D (Search for Journal in Brave)

zbMATH Keywords

integrabilitydissipative systemsplanar systemsnearly integrable systemssubharmonic Melnikov function

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Periodic orbits of vector fields and flows (37C27) Perturbations, asymptotics of solutions to ordinary differential equations (34E10) Obstructions to integrability for finite-dimensional Hamiltonian and Lagrangian systems (nonintegrability criteria) (37J30) Periodic, homoclinic and heteroclinic orbits of finite-dimensional Hamiltonian systems (37J46)

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