Artículo
Morse decomposition of global attractors with infinite components
Autor/es | Caraballo Garrido, Tomás
Jara Pérez, Juan Carlos Langa Rosado, José Antonio Valero Cuadra, José |
Departamento | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Fecha de publicación | 2015 |
Fecha de depósito | 2015-09-30 |
Publicado en |
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Resumen | In this paper we describe some dynamical properties of a Morse decomposition with a countable number of sets. In particular, we are able to prove that the gradient dynamics on Morse sets together with a separation assumption ... In this paper we describe some dynamical properties of a Morse decomposition with a countable number of sets. In particular, we are able to prove that the gradient dynamics on Morse sets together with a separation assumption is equivalent to the existence of an ordered Lyapunov function associated to the Morse sets and also to the existence of a Morse decomposition -that is, the global attractor can be described as an increasing family of local attractors and their associated repellers. |
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151DCDSAaccepted.pdf | 274.4Kb | [PDF] | Ver/ | |