Existence and stability of periodic orbits for a Hamiltonian system with homogeneous potential of degree five
From MaRDI portal
Publication:6056682
DOI10.1007/s12591-020-00526-8zbMath1530.37085OpenAlexW3009859400MaRDI QIDQ6056682
Publication date: 30 October 2023
Published in: Differential Equations and Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s12591-020-00526-8
Averaging method for ordinary differential equations (34C29) Periodic and almost periodic solutions for problems in Hamiltonian and Lagrangian mechanics (70H12) Periodic, homoclinic and heteroclinic orbits of finite-dimensional Hamiltonian systems (37J46)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Periodic orbits for a generalized Friedmann-Robertson-Walker Hamiltonian system in dimension 6
- Periodic solutions of a galactic potential
- Periodic orbits for a class of galactic potentials
- Periodic orbits of the generalized Friedmann-Robertson-Walker Hamiltonian systems
- New families of periodic orbits for a galactic potential
- The Hénon-Heiles system revisited
- Averaging methods for finding periodic orbits via Brouwer degree.
- A note on the non-integrability of some Hamiltonian systems with a homogeneous potential.
- Dynamics of axially symmetric perturbed Hamiltonians in 1:1:1 resonance
- The flow of classical mechanical cubic potential systems
- A new necessary condition for the integrability of Hamiltonian systems with a two-dimensional homogeneous potential
- A mapping for the study of the 1/1 resonance in a galactic type Hamiltonian
- Periodic orbits for the generalized Yang-Mills Hamiltonian system in dimension 6
- Central configurations, periodic orbits, and Hamiltonian systems. Lecture notes given at the research program on central configurations, periodic orbits and beyond in celestial mechanics, Barcelona, Spain, January 27--31, 2014
- Pathology of invariant sets in the monkey saddle
- Periodic trajectories near degenerate equilibria in the Hénon-Heiles and Yang-Mills Hamiltonian systems
- Averaging methods of arbitrary order, periodic solutions and integrability
- Periodic orbits and non-integrability in a cosmological scalar field
- Periodic orbits and non-integrability of Hénon–Heiles systems
- Chaos in a quartic dynamical model
- 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
- Periodic orbits associated to Hamiltonian functions of degree four
- Explicit integration of the Hénon-Heiles Hamiltonians 1
- Averaging methods in nonlinear dynamical systems
