The cored and logarithm galactic potentials: Periodic orbits and integrability

DOI10.1063/1.3697838zbMath1279.85005OpenAlexW2094832973MaRDI QIDQ2860732

Jaume Llibre, Lidia Jiménez-Lara

Publication date: 20 November 2013

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

Full work available at URL: http://ddd.uab.cat/record/150502

zbMATH Keywords

integrabilityperiodic orbitenergy levelanalytic approximationlogarithm galactic potential

Mathematics Subject Classification ID

Hamilton's equations (70H05) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Galactic and stellar dynamics (85A05) Orbital mechanics (70M20) Equations of motion in general relativity and gravitational theory (83C10) Nonintegrable systems for problems in Hamiltonian and Lagrangian mechanics (70H07)

Related Items (4)

The 3-dimensional cored and logarithm potentials: Periodic orbits ⋮ On the Darboux integrability of the logarithmic galactic potentials ⋮ On the integrability of a three-dimensional cored galactic Hamiltonian ⋮ On the analytic integrability of the cored galactic Hamiltonian

Cites Work

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• Quantitative predictions with detuned normal forms
• Stability of axial orbits in analytical galactic potentials
• Periodic solutions of nonlinear periodic differential systems with a small parameter
• Periodic orbits and non-integrability of Hénon–Heiles systems
• Integrability and non-integrability in Hamiltonian mechanics
• Periodic orbits and nonintegrability of generalized classical Yang–Mills Hamiltonian systems
• Forgotten and neglected theories of Poincaré
• Averaging methods in nonlinear dynamical systems

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