Article
Morse decomposition of global attractors with infinite components
Author/s | Caraballo Garrido, Tomás
Jara Pérez, Juan Carlos Langa Rosado, José Antonio Valero Cuadra, José |
Department | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Publication Date | 2015 |
Deposit Date | 2015-09-30 |
Published in |
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Abstract | 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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