Periodic orbits for a class of galactic potentials

DOI10.1007/s10509-012-1318-9zbMath1276.85004arXiv1211.5347OpenAlexW2088210396MaRDI QIDQ383422

Jaume Llibre, Felipe Alfaro, Ernesto Pérez-Chavela

Publication date: 4 December 2013

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

Full work available at URL: https://arxiv.org/abs/1211.5347

zbMATH Keywords

periodic orbitHamiltonian systemaveraging theory

Mathematics Subject Classification ID

Galactic and stellar dynamics (85A05) Perturbation theories for problems in Hamiltonian and Lagrangian mechanics (70H09) Periodic and almost periodic solutions for problems in Hamiltonian and Lagrangian mechanics (70H12)

Related Items (5)

Existence and stability of periodic orbits for a Hamiltonian system with homogeneous potential of degree five ⋮ Periodic solutions for differential systems in \(\mathbb{R}^3\) and \(\mathbb{R}^4\) ⋮ Reeb's theorem and periodic orbits for a rotating Hénon-Heiles potential ⋮ Symmetric Liapunov center theorem ⋮ Periodic orbits associated to Hamiltonian functions of degree four

Cites Work

• Quantitative predictions with detuned normal forms
• Nonlinear differential equations and dynamical systems
• Manifolds, tensor analysis, and applications.
• Exact periodic orbits and chaos in polynomial potentials
• Periodic orbits and non-integrability of Armbruster-Guckenheimer-Kim potential
• Averaging methods in nonlinear dynamical systems
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