Periodic linear motions with multiple collisions in a forced Kepler type problem

DOI10.3934/DCDS.2018172zbMath1441.70006OpenAlexW2805457334WikidataQ129696879 ScholiaQ129696879MaRDI QIDQ1661149

Alexandre Simões, Carlota Rebelo

Publication date: 16 August 2018

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2018172

zbMATH Keywords

periodic solutionPoincaré-Birkhoff theoremmultiple collisions

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Forced motions for nonlinear problems in mechanics (70K40) Inverse problems for systems of particles (70F17) Dynamical aspects of twist maps (37E40)

Related Items (3)

Regularized variational principles for the perturbed Kepler problem ⋮ Periodic solutions to a forced Kepler problem in the plane ⋮ Periodic bouncing solutions of the Lazer-Solimini equation with weak repulsive singularity

Cites Work

• Unnamed Item
• Periodic motions in forced problems of Kepler type
• Linear motions in a periodically forced Kepler problem
• Generalizations of the Poincaré-Birkhoff theorem
• Periodic solutions of a forced relativistic pendulum via twist dynamics
• Some Collision Solutions of the Rectilinear Periodically Forced Kepler Problem
• Differential Topology
• The Theory of the Chemostat
• Some remarks on the Poincaré-Birkhoff theorem
• The collision singularity in a perturbed two-body problem

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