Dynamics of a galactic Hamiltonian system
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Publication:2865518
DOI10.1063/1.4731476zbMath1279.85007OpenAlexW2094665455MaRDI QIDQ2865518
Jaume Llibre, Ernesto A. Lacomba
Publication date: 29 November 2013
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: http://ddd.uab.cat/record/150495
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) Nonintegrable systems for problems in Hamiltonian and Lagrangian mechanics (70H07)
Related Items (4)
The 3-dimensional cored and logarithm potentials: Periodic orbits ⋮ Symmetric periodic solutions of symmetric Hamiltonians in 1 : 1 resonance ⋮ On the integrability of a three-dimensional cored galactic Hamiltonian ⋮ On the analytic integrability of the cored galactic Hamiltonian
Cites Work
- Lagrangian submanifolds and Hamiltonian systems
- Non-integrability and structure of the resonance zones in a class of galactic potentials
- Proof of non-integrability for the Hénon-Heiles Hamiltonian near an exceptional integrable case
- Quantitative predictions with detuned normal forms
- Nonlinear differential equations and dynamical systems
- A criterion for non-integrability based on Poincaré's theorem
- Averaging methods for finding periodic orbits via Brouwer degree.
- Normal modes for nonlinear Hamiltonian systems
- Periodic orbits and non-integrability of Hénon–Heiles systems
- Integrability and non-integrability in Hamiltonian mechanics
- On the number of isolating integrals in perturbed Hamiltonian systems with n>or=3 degrees of freedom
- Periodic orbits and nonintegrability of generalized classical Yang–Mills Hamiltonian systems
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