Nonintegrability of time-periodic perturbations of single-degree-of-freedom Hamiltonian systems near homo- and heteroclinic orbits
DOI10.1016/J.PHYSD.2024.134189MaRDI QIDQ6558853
Publication date: 21 June 2024
Published in: Physica D (Search for Journal in Brave)
heteroclinic orbithomoclinic orbitnonintegrabilityMelnikov methodMorales-Ramis theorytime-periodic perturbation
Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Differential algebra (12H05) 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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