Periodic orbits of radially symmetric Keplerian-like systems: A topological degree approach

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Abstract

We are concerned with non-autonomous radially symmetric systems with a singularity, which are T-periodic in time. By the use of topological degree theory, we prove the existence of large-amplitude periodic solutions whose minimal period is an integer multiple of T. Precise estimates are then given in the case of Keplerian-like systems, showing some resemblance between the orbits of those solutions and the circular orbits of the corresponding classical autonomous system.

MSC

34C25

Keywords

Periodic solutions
Nonlinear dynamics

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