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Robustness of dynamically gradient multivalued dynamical systems
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Title:
Robustness of dynamically gradient multivalued dynamical systems |
Authors:
Caballero-Toro, Rubén
Carvalho, Alexandre N.
Marín-Rubio, Pedro
Valero, José |
Editor:
American Institute of Mathematical Sciences |
Department:
Departamentos de la UMH::Estadística, Matemáticas e Informática |
Issue Date:
2019-03 |
URI:
https://hdl.handle.net/11000/38201 |
Abstract:
In this paper we study the robustness of dynamically gradient multivalued semifows. As an application, we describe the dynamical properties of a family of Chafee-Infante problems approximating a di erential inclusion
studied in [3], proving that the weak solutions of these problems generate a dynamically gradient multivalued semi
ow with respect to suitable Morse sets.
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Notes:
“This article has been published in a revised form in Discrete and Continuous Dynamical Systems Series B [http://dx.doi.org/10.3934/dcdsb.2019006]. This version is free to download for private research and study only. Not for redistribution, re-sale or use in derivative works.” |
Keywords/Subjects:
Attractors
Reaction-diffusion equations
Stability
Dynamically gradient multivalued semiflows
Morse decomposition
Set-valued dynamical systems |
Type of document:
info:eu-repo/semantics/article |
Access rights:
info:eu-repo/semantics/closedAccess
Attribution-NonCommercial-NoDerivatives 4.0 Internacional |
DOI:
http://dx.doi.org/10.3934/dcdsb.2019006 |
Published in:
Discrete and Continuous Dynamical Systems - Series B, Vol. 24, Nº 3 (2019) |
Appears in Collections:
Artículos Estadística, Matemáticas e Informática
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