Article
Robustness of dynamically gradient multivalued dynamical systems
Author/s | Caballero Toro, Rubén
Carvalho, Alexandre Nolasco Marín Rubio, Pedro Valero Cuadra, José |
Department | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Publication Date | 2019-03 |
Deposit Date | 2019-03-11 |
Published in |
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Abstract | In this paper we study the robustness of dynamically gradient multivalued semiflows. As an application, we describe the dynamical properties of a family of Chafee-Infante problems approximating a differential inclusion ... In this paper we study the robustness of dynamically gradient multivalued semiflows. As an application, we describe the dynamical properties of a family of Chafee-Infante problems approximating a differential inclusion studied in J. M. Arrieta, A. Rodríguez-Bernal and J. Valero, Dynamics of a reaction-diffusion equation with a discontinuous nonlinearity, International Journal of Bifurcation and Chaos, 16 (2006), 2965-2984, proving that the weak solutions of these problems generate a dynamically gradient multivalued semiflow with respect to suitable Morse sets. |
Project ID. | FPU15/03080
PHB2010-0002-PC MTM2015-63723-P P12-FQM-1492 2018/10997-6 303929/2015-4 MTM2016-74921-P |
Citation | Caballero Toro, R., Carvalho, A.N., Marín Rubio, P. y Valero Cuadra, J. (2019). Robustness of dynamically gradient multivalued dynamical systems. Discrete and Continuous Dynamical Systems - Series B, 24 (3), 1049-1077. |
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