Obstructions to the continuation of analytic integrals of Hamiltonian systems under non-Hamiltonian perturbations

DOI10.1016/S0375-9601(01)00379-6zbMath0969.70510OpenAlexW2013784915WikidataQ126649229 ScholiaQ126649229MaRDI QIDQ5937770

Simos Ichtiaroglou, Efi Meletlidou, George Voyatzis

Publication date: 15 July 2001

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0375-9601(01)00379-6

zbMATH Keywords

perturbed Morse oscillator system

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Perturbation theories for problems in Hamiltonian and Lagrangian mechanics (70H09)

Cites Work

• Non-integrability and continuation of fixed points on \(2n\)-dimensional perturbed twist maps
• Integrability, partial integrability, and nonintegrability for systems of ordinary differential equations
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