Periodic Solutions, Stability and Non-Integrability in a Generalized Hénon-Heiles Hamiltonian System

DOI10.1080/14029251.2013.805567zbMath1420.37036OpenAlexW2072606877MaRDI QIDQ5230890

Claudio Vidal, Dante Carrasco

Publication date: 29 August 2019

Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/14029251.2013.805567

zbMATH Keywords

periodic orbitsintegrabilityaveraging theorygeneralized Hénon-Heiles Hamiltonian

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Periodic orbits of vector fields and flows (37C27) Nonintegrable systems for problems in Hamiltonian and Lagrangian mechanics (70H07) Obstructions to integrability for finite-dimensional Hamiltonian and Lagrangian systems (nonintegrability criteria) (37J30)

Related Items (2)

Existence and stability of periodic orbits for a Hamiltonian system with homogeneous potential of degree five ⋮ Periodic orbits associated to Hamiltonian functions of degree four

Cites Work

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