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Multi-Pulse Evolution and Space-Time Chaos in Dissipative Systems.

By: Contributor(s): Material type: TextTextSeries: Memoirs of the American Mathematical SocietyPublisher: Providence : American Mathematical Society, 2009Copyright date: ©2009Edition: 1st edDescription: 1 online resource (112 pages)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9781470405311
Subject(s): Genre/Form: Additional physical formats: Print version:: Multi-Pulse Evolution and Space-Time Chaos in Dissipative SystemsDDC classification:
  • 515.39
LOC classification:
  • QA614.813 -- .Z45 2009eb
Online resources:
Contents:
Intro -- Contents -- 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 -- Bibliography -- Nomenclature.
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Intro -- Contents -- 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 -- Bibliography -- Nomenclature.

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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.

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