Research of the periodic solutions of the Hénon-Heiles nonintegrable Hamiltonian system by the Lindstedt-Poincaré method

DOI10.1088/0305-4470/31/22/010zbMath0953.70012OpenAlexW2066430796MaRDI QIDQ3836018

Saâd Benbachir

Publication date: 6 December 1999

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

Full work available at URL: https://doi.org/10.1088/0305-4470/31/22/010

zbMATH Keywords

periodic solutionsnumerical integrationperturbation seriesperiodLindstedt-Poincaré methodGauss hypergeometric seriesHénon-Heiles nonintegrable Hamiltonian systemsrectilinear periodic family

Mathematics Subject Classification ID

Equilibria and periodic trajectories for nonlinear problems in mechanics (70K42) Celestial mechanics (70F15) Nonintegrable systems for problems in Hamiltonian and Lagrangian mechanics (70H07)

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