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| Title: | Detecting invariant manifolds using hyperbolic Lagrangian coherent structures |
|---|---|
| Author: | Pérez, Daniel; Gómez Muntané, Gerard; Masdemont Soler, Josep |
| Other authors: | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I; Universitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions |
| Abstract: | Using as reference test model the Planar Circular Restricted Three Body Prob- lem, this paper explores its Lagrangian Coherent Structures, as well as its Hy- perbolic Lagrangian Coherent Structures. The purpose is to identify stable and unstable manifolds acting as separatrices between orbits with different qualitative behaviour and, therefore, relevant to the dynamics of the problem. Particular at- tention is given to the manifolds associated to the collinear libration points and to the practical stability regions around the triangular equilibrium points |
| Subject(s): | -Àrees temàtiques de la UPC::Matemàtiques i estadística -Three-body problem -Problema dels tres cossos -Sistemes dinàmics diferenciables |
| Rights: | Attribution-NonCommercial-NoDerivs 3.0 Spain
http://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
| Document type: | Article - Published version Article |
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