Continuous symmetric perturbations of planar power law forces

DOI10.1016/j.jde.2004.10.029zbMath1144.34333arXivmath/0311341OpenAlexW2072127030MaRDI QIDQ1772316

Xianqiang Yang

Publication date: 18 April 2005

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0311341

zbMATH Keywords

Periodic orbitsPerturbationsPower law forces

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Equilibria and periodic trajectories for nonlinear problems in mechanics (70K42) Two-body problems (70F05)

Related Items (1)

On the existence of periodic orbits for the fixed homogeneous circle problem

Cites Work

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• Multiple closed orbits of fixed energy for gravitational potentials
• Perturbation of Hamiltonian systems with Keplerian potentials
• Closed orbits of fixed energy for singular Hamiltonian systems
• Multiple closed orbits for singular conservative systems via geodesic theory
• Multiple closed orbits for perturbed Keplerian problems
• Periodic solutions of symmetric perturbation of gravitational potentials
• Nonlinear sturm‐lionville problems for second order ordinary differential equations
• Periodic solutions for any planar symmetric perturbation of the Kepler problem

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