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 American Mathematical Soc.. This book was released on 2013-06-28 with total page 97 pages. Available in PDF, EPUB and Kindle.
Author | : Kening Lu |
Publisher | : American Mathematical Soc. |
Total Pages | : 97 |
Release | : 2013-06-28 |
ISBN-10 | : 9780821884843 |
ISBN-13 | : 0821884840 |
Rating | : 4/5 (43 Downloads) |
Book Synopsis Strange Attractors for Periodically Forced Parabolic Equations by : Kening Lu
Book excerpt: 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.