Strange attractors for periodically forced parabolic equations /

"We prove that in systems undergoing Hopf bifurcations, the effects of periodic forcing can be amplified by the shearing in the system to create sustained chaotic behavior. Specifically, strange attractors with SRB measures are shown to exist. The analysis is carried out for infinite dimensiona...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Lu, Kening, 1962- (Autor), Wang, Qiudong, 1962- (Autor), Young, L.-S. (Lai-Sang) (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence, Rhode Island : American Mathematical Society, [2013]
Colección:Memoirs of the American Mathematical Society ; no 1054.
Temas:
Attractors (Mathematics)
Differential equations, Parabolic.
Periodic functions.
Attracteurs (Mathématiques)
Équations différentielles paraboliques.
Fonctions périodiques.
MATHEMATICS > Calculus.
MATHEMATICS > Mathematical Analysis.
Differential equations, Parabolic
Periodic functions
Acceso en línea:Texto completo
Descripción
Sumario:"We prove that in systems undergoing Hopf bifurcations, the effects of periodic forcing can be amplified by the shearing in the system to create sustained chaotic behavior. Specifically, strange attractors with SRB measures are shown to exist. The analysis is carried out for infinite dimensional systems, and the results are applicable to partial differential equations. Application of the general results to a concrete equation, namely the Brusselator, is given."--Page v.
Notas:"July 2013, Volume 224, Number 1054 (third of 4 numbers)."
Descripción Física:1 online resource (v, 85 pages) : color illustrations.
Bibliografía:Includes bibliographical references (pages 83-85).
ISBN:9781470410056
1470410052
ISSN:0065-9266 ;

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