Non-integrability and continuation of fixed points on \(2n\)-dimensional perturbed twist maps

DOI10.1016/S0167-2789(98)00314-5zbMath0943.70010OpenAlexW2024474094MaRDI QIDQ1809199

Simos Ichtiaroglou, Karl Wodnar, Efi Meletlidou

Publication date: 5 September 2000

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

Full work available at URL: https://doi.org/10.1016/s0167-2789(98)00314-5

zbMATH Keywords

fixed pointslinear stabilityeigenvaluesHamiltonian systemsanalytic continuationnon-integrabilityJacobian matrixisolated periodic orbitsSuris potentialsymplectic perturbed twist mappings

Mathematics Subject Classification ID

Dynamical systems in classical and celestial mechanics (37N05) Nonintegrable systems for problems in Hamiltonian and Lagrangian mechanics (70H07) Perturbation theories for problems in Hamiltonian and Lagrangian mechanics (70H09)

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Obstructions to the continuation of analytic integrals of Hamiltonian systems under non-Hamiltonian perturbations ⋮ Break-up of resonant invariant curves in billiards and dual billiards associated to perturbed circular tables ⋮ A method for evaluating the stability of fixed points in perturbed symplectic maps ⋮ Existence of localized periodic motions in systems of coupled integrable symplectic maps.

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