TOPOLOGY AND PERIODIC ORBITS OF RING-SHAPED POTENTIALS AS A GENERALIZED 4-D ISOTROPIC OSCILLATOR

DOI10.1142/S0218127410027374zbMath1202.37076OpenAlexW2131666357MaRDI QIDQ3065789

M. C. Balsas, Juan A. Vera, E. S. Jiménez, Sebastián Ferrer

Publication date: 6 January 2011

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127410027374

zbMATH Keywords

periodic orbitsHamiltonian systemLiouville-Arnold theoremgeneralized 4-D isotropic oscillatorring-shaped potentials

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) First-order elliptic systems (35J46)

Related Items (1)

Some ring-shaped potentials as a generalized 4-D isotropic oscillator. Periodic orbits

Cites Work

• Phase portraits of the two-body problem with Manev potential
• The Motion of a Gyrostat in a Central Gravitational Field: Phase Portraits of an Integrable Case

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