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Strange Attractors for Periodically Forced Parabolic Equations

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Strange Attractors for Periodically Forced Parabolic Equations Synopsis

The authors 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 behaviour. 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.

About This Edition

ISBN: 9780821884843
Publication date:
Author: Kening Lu, Qiudong Wang, LS Young
Publisher: American Mathematical Society
Format: Paperback
Pagination: 85 pages
Series: Memoirs of the American Mathematical Society
Genres: Differential calculus and equations