Non-collision orbits for a class of Keplerian-like potentials

DOI10.1016/S0294-1449(16)30347-XzbMath0667.58055MaRDI QIDQ1117546

Antonio Ambrosetti, Vittorio Coti Zelati

Publication date: 1988

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIHPC_1988__5_3_287_0

zbMATH Keywords

non-collision solutionT-periodic solutionsKeplerian-like potential

Mathematics Subject Classification ID

Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items

On a class of dynamical systems with singular potential, Perturbation of Hamiltonian systems with Keplerian potentials, Periodic orbits of radially symmetric Keplerian-like systems: a topological degree approach, Forced oscillations of singular dynamical systems with an application to the restricted three body problem, New periodic solutions for a class of singular Hamiltonian systems, Study of the periodic solutions of some \(n\)-body-type problems, Periodic solutions of prescribed energy for a class of Hamiltonian systems with singular potentials, Multiplicity of periodic solution with prescribed energy to singular dynamical systems, Collisionless periodic solutions to some three-body problems, Homoclinic orbits for a singular second order Hamiltonian system, Periodic solutions to some problems of \(n\)-body type

Cites Work

• Unnamed Item
• Unnamed Item
• Remarks on dynamical systems with weak forces
• Critical points with lack of compactness and singular dynamical systems
• Closed orbits of fixed energy for a class of \(N\)-body problems
• Lagrangian Systems in the Presence of Singularities
• A Minimizing Property of Keplerian Orbits
• Conservative Dynamical Systems Involving Strong Forces