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Multi-pulse evolution and space-time chaos in dissipative systems
About this Title
Sergey Zelik and Alexander Mielke
Publication: Memoirs of the American Mathematical Society
Publication Year:
2009; Volume 198, Number 925
ISBNs: 978-0-8218-4264-5 (print); 978-1-4704-0531-1 (online)
DOI: https://doi.org/10.1090/memo/0925
MathSciNet review: 2499464
MSC: Primary 35Q53; Secondary 35B41, 37L10, 37L30
Table of Contents
Chapters
- 1. Introduction
- 2. Assumptions and preliminaries
- 3. Weighted Sobolev spaces and regularity of solutions
- 4. The multi-pulse manifold: General structure
- 5. The multi-pulse manifold: Projectors and tangent spaces
- 6. The multi-pulse manifold: Differential equations and the cut off procedure
- 7. Slow evolution of multi-pulse profiles: Linear case
- 8. Slow evolution of multi-pulse structures: Center manifold reduction
- 9. Hyperbolicity and stability
- 10. Multi-pulse evolution equations: Asymptotic expansions
- 11. An application: Spatio-temporal chaos in periodically perturbed Swift-Hohenberg equation