Artículo
Gradient-like nonlinear semigroups with infinitely many equilibria and applications to cascade systems
Autor/es | Aragão Costa, Eder Ritis
Carvalho, Alexandre Nolasco Marín Rubio, Pedro Planas, Gabriela |
Departamento | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Fecha de publicación | 2013-12 |
Fecha de depósito | 2019-03-11 |
Publicado en |
|
Resumen | We consider an autonomous dynamical system coming from a coupled system in cascade where the uncoupled part of the system satisfies that the solutions comes from −∞ and goes to ∞ to equilibrium points, and where the coupled ... We consider an autonomous dynamical system coming from a coupled system in cascade where the uncoupled part of the system satisfies that the solutions comes from −∞ and goes to ∞ to equilibrium points, and where the coupled part generates asymptotically a gradient-like nonlinear semigroup. Then, the complete model is proved to be also gradient-like. The interest of this extension comes, for instance, in models where a continuum of equilibrium points holds, and for example a Lojasiewicz-Simon condition is satisfied. Indeed, we illustrate the usefulness of the theory with several examples. |
Identificador del proyecto | 2008/50248-0
305230/2011-5 238/2011 2008/55516-3 MTM2008-00088 P07-FQM-02468 PHB2010-0002-PC 302865/2012-8 2008/09342-3 |
Cita | Aragão Costa, E.R., Carvalho, A.N., Marín Rubio, P. y Planas, G. (2013). Gradient-like nonlinear semigroups with infinitely many equilibria and applications to cascade systems. Topological Methods in Nonlinear Analysis, 42 (2), 345-376. |
Ficheros | Tamaño | Formato | Ver | Descripción |
---|---|---|---|---|
Gradient-like nonlinear semigroups ... | 348.8Kb | [PDF] | Ver/ | |