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Strange Attractors for Periodically Forced Parabolic Equations

Strange Attractors for Periodically Forced Parabolic Equations PDF Author: Kening Lu
Publisher: American Mathematical Soc.
ISBN: 0821884840
Category : Mathematics
Languages : en
Pages : 97

Book Description
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 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.
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