publication . Article . 1993

Remarks on Periodic Orbits of Dynamical Systems with Repulsive Singularities

Terracini, S.;
  • Published: 01 Jan 1993 Journal: Journal of Functional Analysis, volume 111, pages 213-238 (issn: 0022-1236, Copyright policy)
  • Publisher: Elsevier BV
Abstract We study existence and multiplicity of periodic solutions with prescribed period in the case of conservative systems having several singularities of repulsive type. These results are also used to prove existence and multiplicity of periodic bounce trajectories in exterior domains.
free text keywords: Analysis, Periodic graph (geometry), Gravitational singularity, Dynamical system, Existence theorem, Multiplicity (mathematics), Periodic orbits, Mathematical analysis, Mathematics, Dynamical systems theory
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