On the Periodic Structure of the Anisotropic Manev Problem
- García Guirao, Juan Luis
- Roca, José Luis
- Vera López, Juan Antonio
ISSN: 1575-5460
Year of publication: 2019
Volume: 18
Issue: 3
Pages: 987-999
Type: Article
More publications in: Qualitative theory of dynamical systems
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Abstract
The aim of the present work is to provide sufficient conditions for the existence of periodic orbits of the first and second kind in the sense of Poincaré for the Anisotropic Manev problem. Moreover, we are also able to provide information on the stability and bifurcations of the orbits obtained. The main tool that we use is the averaging theory of dynamical systems.
Funding information
Funders
-
Fundación Séneca
- 19219/PI/14