Periodic orbits and non-integrability of Hénon–Heiles systems

DOI10.1088/1751-8113/44/20/205103zbMath1296.34106OpenAlexW2075436601MaRDI QIDQ3004926

Lidia Jiménez-Lara, Jaume Llibre

Publication date: 6 June 2011

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/1751-8113/44/20/205103

zbMATH Keywords

integrabilityperiodic orbitaveraging methodLiouville-Arnold theoremGeneralized Hénon-Heiles system

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Averaging method for ordinary differential equations (34C29) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Homoclinic and heteroclinic orbits for dynamical systems (37C29) Nonintegrable systems for problems in Hamiltonian and Lagrangian mechanics (70H07) Obstructions to integrability for finite-dimensional Hamiltonian and Lagrangian systems (nonintegrability criteria) (37J30)

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