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Strange Attractors for Periodically Forced Parabolic Equations

By: Kening Lu (Author) , Qiudong Wang (Author) , Lai-Sang Young (Author)

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Ksh 17,550.00

Format: Paperback or Softback

ISBN-13: 9780821884843

Publisher: American Mathematical Society

Publication Date: Aug 30th, 2013

Category: Differential calculus & equations

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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.

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