Periodic orbits associated to Hamiltonian functions of degree four
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Publication:5230951
DOI10.1080/14029251.2014.936756zbMath1420.34071OpenAlexW2083459583MaRDI QIDQ5230951
Dante Carrasco-Olivera, Marco Uribe, Claudio Vidal
Publication date: 29 August 2019
Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/14029251.2014.936756
Periodic solutions to ordinary differential equations (34C25) Averaging method for ordinary differential equations (34C29) Galactic and stellar dynamics (85A05) Stability problems for finite-dimensional Hamiltonian and Lagrangian systems (37J25)
Related Items (2)
Existence and stability of periodic orbits for a Hamiltonian system with homogeneous potential of degree five ⋮ Reeb's theorem and periodic orbits for a rotating Hénon-Heiles potential
Cites Work
- Unnamed Item
- Periodic orbits for a class of galactic potentials
- Stability of axial orbits in galactic potentials
- The Hénon-Heiles system revisited
- Averaging methods for finding periodic orbits via Brouwer degree.
- The flow of classical mechanical cubic potential systems
- Stability of axial orbits in analytical galactic potentials
- Pathology of invariant sets in the monkey saddle
- Periodic trajectories near degenerate equilibria in the Hénon-Heiles and Yang-Mills Hamiltonian systems
- Periodic orbits and non-integrability in a cosmological scalar field
- Periodic orbits and non-integrability of Hénon–Heiles systems
- ( 1 + 1 ) -dimensional separation of variables
- Periodic orbits near an equilibrium and a theorem by Alan Weinstein
- Calculations of periodic trajectories for the Hénon–Heiles Hamiltonian using the monodromy method
- Periodic Solutions, Stability and Non-Integrability in a Generalized Hénon-Heiles Hamiltonian System
- Nonstandard Separability on the Minkowski Plane
- Explicit integration of the Hénon-Heiles Hamiltonians 1
- Averaging methods in nonlinear dynamical systems
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