The Melnikov subharmonic function and the non-existence of analytic integrals in non-autonomous systems

DOI10.1023/A:1011180700483zbMath0991.70013OpenAlexW4248986148MaRDI QIDQ5945028

Efi Meletlidou

Publication date: 28 August 2002

Published in: Celestial Mechanics and Dynamical Astronomy (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1011180700483

zbMATH Keywords

perturbed systemnon-integrabilityMelnikov subharmonic functionnon-existence of analytic integralone-dimensional non-degenerate Hamiltonian systemperiodically time-dependent non-Hamiltonian vector field

Mathematics Subject Classification ID

Nonlinear dynamics in mechanics (70K99) Nonintegrable systems for problems in Hamiltonian and Lagrangian mechanics (70H07) Perturbation theories for problems in Hamiltonian and Lagrangian mechanics (70H09)

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