Strange Attractors for Periodically Forced Parabolic Equations

Download or Read eBook Strange Attractors for Periodically Forced Parabolic Equations PDF written by Kening Lu and published by . This book was released on 2013 with total page 85 pages. Available in PDF, EPUB and Kindle.
Strange Attractors for Periodically Forced Parabolic Equations
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Publisher :
Total Pages : 85
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ISBN-10 : 1470410052
ISBN-13 : 9781470410056
Rating : 4/5 (52 Downloads)

Book Synopsis Strange Attractors for Periodically Forced Parabolic Equations by : Kening Lu

Book excerpt: "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.


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In particular, for b = 1 and λ = 0, we find a sharp condition on h such that the origin is a removable singularity for all non-negative solutions of [[eqref]]o