Strange Attractors for Periodically Forced Parabolic Equations

Strange Attractors for Periodically Forced Parabolic Equations
Author :
Publisher : American Mathematical Soc.
Total Pages : 97
Release :
ISBN-10 : 9780821884843
ISBN-13 : 0821884840
Rating : 4/5 (840 Downloads)

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

Download or read book Strange Attractors for Periodically Forced Parabolic Equations 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. 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.


Strange Attractors for Periodically Forced Parabolic Equations Related Books

Strange Attractors for Periodically Forced Parabolic Equations
Language: en
Pages: 97
Authors: Kening Lu
Categories: Mathematics
Type: BOOK - Published: 2013-06-28 - Publisher: American Mathematical Soc.

DOWNLOAD EBOOK

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 sustain
Nonautonomous Dynamical Systems in the Life Sciences
Language: en
Pages: 326
Authors: Peter E. Kloeden
Categories: Mathematics
Type: BOOK - Published: 2014-01-22 - Publisher: Springer

DOWNLOAD EBOOK

Nonautonomous dynamics describes the qualitative behavior of evolutionary differential and difference equations, whose right-hand side is explicitly time depend
A Complete Classification of the Isolated Singularities for Nonlinear Elliptic Equations with Inverse Square Potentials
Language: en
Pages: 97
Authors: Florica C. Cîrstea
Categories: Mathematics
Type: BOOK - Published: 2014-01-08 - Publisher: American Mathematical Soc.

DOWNLOAD EBOOK

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
The Sine-Gordon Equation in the Semiclassical Limit: Dynamics of Fluxon Condensates
Language: en
Pages: 148
Authors: Robert J. Buckingham
Categories: Mathematics
Type: BOOK - Published: 2013-08-23 - Publisher: American Mathematical Soc.

DOWNLOAD EBOOK

The authors study the Cauchy problem for the sine-Gordon equation in the semiclassical limit with pure-impulse initial data of sufficient strength to generate b