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Autore: |
Lu Kening <1962->
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Titolo: |
Strange attractors for periodically forced parabolic equations / / Kening Lu, Qiudong Wang, Lai-Sang Young
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Pubblicazione: | Providence, Rhode Island : , : American Mathematical Society, , 2012 |
©2012 | |
Descrizione fisica: | 1 online resource (85 p.) |
Disciplina: | 515/.3534 |
Soggetto topico: | Attractors (Mathematics) |
Differential equations, Parabolic | |
Periodic functions | |
Soggetto genere / forma: | Electronic books. |
Persona (resp. second.): | WangQiudong <1962-> |
YoungL.-S (Lai-Sang) | |
Note generali: | "Volume 224, Number 1054 (third of 4 numbers)." |
Nota di bibliografia: | Includes bibliographical references. |
Nota di contenuto: | ""Contents""; ""Chapter 1. Introduction""; ""Chapter 2. Basic Definitions and Facts""; ""2.1. Sectorial Operators""; ""2.2. Dynamical Systems Defined by Evolutionary Equations""; ""2.3. Hopf Bifurcations""; ""2.4. A Few Ideas from Dynamical Systems""; ""2.5. SRB Measures""; ""Chapter 3. Statement of Theorems""; ""3.1. Setting and Standing Hypotheses""; ""3.2. General Results for Periodically Forced Hopf Bifurcations""; ""3.3. An Application: The Brusselator""; ""3.4. Discussion of Results""; ""Chapter 4. Invariant Manifolds""; ""4.1. Standardizing the Linear Part of the Unforced Equation"" |
""4.2. Invariant Manifolds""""4.3. Trapping Regions""; ""Chapter 5. Canonical Form of Equations Around the Limit Cycle""; ""5.1. Normal Form of Hopf Bifurcation""; ""5.2. Blow-ups""; ""5.3. Final Adjustments""; ""5.4. Summary of Coordinate Transformations and Relevant Domains""; ""Chapter 6. Preliminary Estimates on Solutions of the Unforced Equation""; ""6.1. â?° Estimates""; ""6.2. ³ Bounds""; ""6.3. Approximate Form of Î?_{ } for Large ""; ""Chapter 7. Time- Map of Forced Equation and Derived 2-D System""; ""7.1. Approximate Form of Kick Map"" | |
""7.2. The Map _{ } and a Derived 2-D System""""7.3. Proofs of Theorems 3.2 and 3.5""; ""7.4. Further Analytic Preparation for Theorem 2""; ""Chapter 8. Strange Attractors with SRB Measures""; ""8.1. Review of Results from [WY1] and [WY4]""; ""8.2. Proof of Theorem 3.4""; ""Chapter 9. Application: The Brusselator""; ""9.1. The Dirichlet Case""; ""9.2. The Neumann Case""; ""Appendix A. Proofs of Propositions 3.1-3.3""; ""Appendix B. Proof of Proposition 7.5""; ""B.1. Extending the Domains of and ""; ""B.2. 2-D Invariant Manifold""; ""B.3. Proof of Proposition B.5"" | |
""Appendix C. Proofs of Proposition 8.1 and Lemma 8.2""""Bibliography"" | |
Titolo autorizzato: | Strange attractors for periodically forced parabolic equations ![]() |
ISBN: | 1-4704-1005-2 |
Formato: | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione: | Inglese |
Record Nr.: | 9910480509403321 |
Lo trovi qui: | Univ. Federico II |
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