Strange attractors for periodically forced parabolic equations / Kening Lu, Qiudong Wang, Lai-Sang Young.

"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 dimensiona...

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Bibliographic Details
Main Authors: Lu, Kening, 1962- (Author), Wang, Qiudong, 1962- (Author), Young, L.-S. (Author)
Format: Electronic
Language:English
Published: Providence, Rhode Island : American Mathematical Society, [2013]
Series:Memoirs of the American Mathematical Society ; no 1054.
Subjects:
Online Access:Click for online access
Table of Contents:
  • Chapter 1. Introduction Chapter 2. Basic definitions and facts Chapter 3. Statement of theorems Chapter 4. Invariant manifolds Chapter 5. Canonical form of equations around the limit cycle Chapter 6. Preliminary estimates on solutions of the unforced equation Chapter 7. Time-$T$ map of forced equation and derived 2-D system Chapter 8. Strange attractors with SRB measures Chapter 9. Application: The Brusselator Appendix A. Proofs of Propositions 3.1-3.3 Appendix B. Proof of Proposition 7.5 Appendix C. Proofs of Proposition 8.1 and Lemma 8.2.