Normal Forms and Sternberg Conjugation Theorems for Infinite Dimensional Coupled Map Lattices
In this paper we present local Sternberg conjugation theorems near attracting fixed points for lattice systems. The interactions are spatially decaying and are not restricted to finite distance. The conjugations obtained retain the same spatial decay. In the presence of resonances the conjugations a...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Estado: | Versión aceptada para publicación |
| Fecha de publicación: | 2021 |
| País: | España |
| Institución: | Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya) |
| Repositorio: | Recercat. Dipósit de la Recerca de Catalunya |
| OAI Identifier: | oai:recercat.cat:2445/193789 |
| Acceso en línea: | https://hdl.handle.net/2445/193789 |
| Access Level: | acceso abierto |
| Palabra clave: | Sistemes dinàmics diferenciables Teoria de la bifurcació Teoria ergòdica Dinàmica reticular Differentiable dynamical systems Bifurcation theory Ergodic theory Lattice dynamics |
| Sumario: | In this paper we present local Sternberg conjugation theorems near attracting fixed points for lattice systems. The interactions are spatially decaying and are not restricted to finite distance. The conjugations obtained retain the same spatial decay. In the presence of resonances the conjugations are to a polynomial normal form that also has decaying properties. |
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