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. Application of the general results to a concrete equation, namely the Brusselator, is given.
ISBN: | 9780821884843 |
Publication date: | 30th August 2013 |
Author: | Kening Lu, Qiudong Wang, LS Young |
Publisher: | American Mathematical Society |
Format: | Paperback |
Pagination: | 85 pages |
Series: | Memoirs of the American Mathematical Society |
Genres: |
Differential calculus and equations |