On the Periodic Structure of the Anisotropic Manev Problem

  1. García Guirao, Juan Luis
  2. Roca, José Luis
  3. Vera López, Juan Antonio
Revista:
Qualitative theory of dynamical systems

ISSN: 1575-5460

Año de publicación: 2019

Volumen: 18

Número: 3

Páginas: 987-999

Tipo: Artículo

DOI: 10.1007/S12346-019-00323-X DIALNET GOOGLE SCHOLAR

Otras publicaciones en: Qualitative theory of dynamical systems

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Resumen

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.

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