Continuity of global attractors for a class of non local evolution equations | Zendy

Antônio Luíz Pereira | Zendy; Severino H. da Silva | Zendy

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Continuity of global attractors for a class of non local evolution equations

Author(s) -

Antônio Luíz Pereira,

Severino H. da Silva

Publication year - 2009

Publication title -

discrete and continuous dynamical systems

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.289

H-Index - 70

eISSN - 1553-5231

pISSN - 1078-0947

DOI - 10.3934/dcds.2010.26.1073

Subject(s) - attractor , beta (programming language) , class (philosophy) , flow (mathematics) , mathematics , pure mathematics , property (philosophy) , mathematical physics , combinatorics , physics , mathematical analysis , geometry , computer science , philosophy , epistemology , artificial intelligence , programming language

In this work we prove that the global attractors for the flow of the equation partial derivative m(r, t)/partial derivative t = -m(r, t) + g(beta J * m(r, t) + beta h), h, beta >= 0, are continuous with respect to the parameters h and beta if one assumes a property implying normal hyperbolicity for its (families of) equilibria.CNPq-Brazil[2003/11021-7]Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)CNPq-Brazil[03/10042-0]Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)CNPq-Brazil[141882/2003-4

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