Dynamics in the Charged Restricted Circular Three-Body Problem

被引：0
|
作者：
J. F. Palacián
C. Vidal
J. Vidarte
P. Yanguas
机构：
[1] Universidad Pública de Navarra,Departamento de Ingeniería Matemática e Informática and Institute of Advanced Materials (INAMAT)
[2] Universidad del Bío-Bío,Grupo de Investigación en Sistemas Dinámicos y Aplicaciones
[3] Universidad del Bío-Bío,GISDA, Departamento de Matemática, Facultad de Ciencias
来源：
Journal of Dynamics and Differential Equations | 2018年 / 30卷
关键词：
Charged restricted circular three body problem; Averaging; normalisation and reduction; Reduced space and invariants; Reeb’s Theorem; Periodic solutions and linear stability; KAM tori; Bifurcations; 34C15; 34C20; 34C25; 37J40; 70K65;
D O I：
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中图分类号：
学科分类号：
摘要：
The existence and stability of periodic solutions for different types of perturbations associated to the Charged Restricted Circular Three Body Problem (shortly, CHRCTBP) is tackled using reduction and averaging theories as well as the technique of continuation of Poincaré for the study of symmetric periodic solutions. The determination of KAM 2-tori encasing some of the linearly stable periodic solutions is proved. Finally, we analyze the occurrence of Hamiltonian-Hopf bifurcations associated to some equilibrium points of the CHRCTBP.
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页码：1757 / 1774
页数：17
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