Periodic orbits and non-integrability of Armbruster-Guckenheimer-Kim potential

DOI10.1007/s10509-012-1210-7zbMath1286.37061OpenAlexW2000269772MaRDI QIDQ2449634

Jaume Llibre, Luci Any Roberto

Publication date: 9 May 2014

Published in: Astrophysics and Space Science (Search for Journal in Brave)

Full work available at URL: http://ddd.uab.cat/record/150657

zbMATH Keywords

periodic solutionnon-integrabilityaveraging method

Mathematics Subject Classification ID

Related Items (5)

Periodic orbits for a class of galactic potentials ⋮ Nonintegrability of the Armbruster--Guckenheimer--Kim Quartic Hamiltonian Through Morales--Ramis Theory ⋮ On the integrability of new examples of two-dimensional Hamiltonian systems in curved spaces ⋮ Painlevé's analysis, integrability and detecting chaos-order-chaos transition by the SALI and mLE methods of three-dimensional Armbruster Guckenheimer Kim galactic potential ⋮ Armbruster – Guckenheimer – Kim Hamiltonian System in $\bs 1$:$\bs 1$ Resonance

Cites Work

• Unnamed Item
• Nonlinear differential equations and dynamical systems
• Mathematical aspects of classical and celestial mechanics. Transl. from the Russian by E. Khukhro.
• Periodic orbits and non-integrability of Hénon–Heiles systems
• Periodic orbits and nonintegrability of generalized classical Yang–Mills Hamiltonian systems

This page was built for publication: Periodic orbits and non-integrability of Armbruster-Guckenheimer-Kim potential