Attractors and symmetries of vector fields: The inverse problem |
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| Authors: | F. Gonzá lez-Gascó n |
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| Affiliation: | a Departamento de Física Teórica II, Universidad Complutense, 28040 Madrid, Spain
b Departamento de Matemáticas, Universidad Carlos III de Madrid, 28911 Leganés, Spain |
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| Abstract: | The inverse problem of constructing dynamical systems X with a prescribed compact attracting set K⊂Rn and non-trivial dynamics on it is solved. The boundaries ∂ of the attracting basins corresponding to different connected components of K and the relationship between the symmetries of K, X and ∂ are also studied. |
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| Keywords: | Attractor Basin boundary Symmetry Inverse problem |
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