Memoirs of the American Mathematical Society 2013; 85 pp; softcover Volume: 224 ISBN10: 0821884840 ISBN13: 9780821884843 List Price: US$69 Member Price: US$55.20 Order Code: MEMO/224/1054
 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. Table of Contents  Introduction
 Basic definitions and facts
 Statement of theorems
 Invariant manifolds
 Canonical form of equations around the limit cycle
 Preliminary estimates on solutions of the unforced equation
 Time\(T\) Map of forced equation and derived \(2\)D system
 Strange attractors with SRB measures
 Application: The Brusselator
 Appendix A. Proofs of Propositions 3.13.3
 Appendix B. Proof of Proposition 7.5
 Appendix C. Proofs of Proposition 8.1 and Lemma 8.2
 Bibliography
