Strange Attractors for Periodically Forced Parabolic Equations

Kening Lu, Brigham Young University, Provo, UT, USA Qiudong Wang, University of Arizona, Tucson, AZ, USA Lai-Sang Young, Courant Institute of Mathematical Sciences, New York University, NY, USA

• IntroductionBasic Definitions and Facts Statement of TheoremsInvariant ManifoldsCanonical Form of Equations Around the Limit CyclePreliminary Estimates on Solutions of the Unforced EquationTime-$T$ Map of Forced Equation and Derived $2$-D SystemStrange Attractors with SRB Measures Application: The Brusselator Appendix A. Proofs of Propositions 3.1-3.3Appendix B. Proof of Proposition 7.5Appendix C. Proofs of Proposition 8.1 and Lemma 8.2Bibliography