Analysis of the stability of a family of singular-limit linear periodic systems in R4. Applications

Journal of Differential Equations - Tập 226 - Trang 652-686 - 2006
Regina Martínez1, Anna Samà1, Carles Simó2
1Departament de Matemàtiques, Universitat Autònoma de Barcelona, Bellaterra, Barcelona, Spain
2Departament de Matemàtica Aplicada i Anàlisi, Universidad de Barcelona, Gran Via 585, 08007 Barcelona, Spain

Tài liệu tham khảo

Moeckel, 1989, Chaotic dynamics near triple collision, Arch. Ration. Mech. Anal., 107, 37, 10.1007/BF00251426 Moeckel, 1994, Linear stability of relative equilibria with a dominant mass, J. Dynam. Differential Equations, 6, 37, 10.1007/BF02219187 Martínez, 2003, On the centre manifold of collinear points in the planar three-body problem, Celest. Mech., 85, 311, 10.1023/A:1022901808349 Martínez, 2005, Stability of homographic solutions of the planar three-body problem with homogeneous potentials, 1005 R. Martínez, A. Samà, C. Simó, Stability diagram for a 4D periodic linear system with applications to Roberts, 2002, Linear stability of the elliptic Lagrangian triangle solutions in the three-body problem, J. Differential Equations, 182, 191, 10.1006/jdeq.2001.4089 A. Samà, Equilibria in three body problems: Stability, invariant tori and connections, PhD thesis, 2004 Siegel, 1971