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[null,"1.","Record Nr.",null,"UNINA9910796031803321"]
[null,null,"Autore",null,"Lu Kening <1962->"]
[null,null,"Titolo",null,"Strange attractors for periodically forced parabolic equations / / Kening Lu, Qiudong Wang, Lai-Sang Young"]
[null,null,"Pubbl/distr/stampa",null,"Providence, Rhode Island : , : American Mathematical Society, , 2012"]
[{"$nulls":4},"©2012"]
[null,null,"ISBN",null,"1-4704-1005-2"]
[null,null,"Descrizione fisica",null,"1 online resource (85 p.)"]
[null,null,"Collana",null,"Memoirs of the American Mathematical Society, , 0065-9266 ; ; Volume 224, Number 1054"]
[null,null,"Disciplina",null,"515/.3534"]
[null,null,"Soggetti",null,"Attractors (Mathematics)"]
[{"$nulls":4},"Differential equations, Parabolic"]
[{"$nulls":4},"Periodic functions"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","\"Volume 224, Number 1054 (third of 4 numbers).\""]
[null,null,null,"Nota di bibliografia","Includes bibliographical references."]
[null,null,"Nota di contenuto",null,"\"\"Contents\"\"; \"\"Chapter 1. Introduction\"\"; \"\"Chapter 2. Basic Definitions and Facts\"\"; \"\"2.1. Sectorial Operators\"\"; \"\"2.2. Dynamical Systems Defined by Evolutionary Equations\"\"; \"\"2.3. Hopf Bifurcations\"\"; \"\"2.4. A Few Ideas from Dynamical Systems\"\"; \"\"2.5. SRB Measures\"\"; \"\"Chapter 3. Statement of Theorems\"\"; \"\"3.1. Setting and Standing Hypotheses\"\"; \"\"3.2. General Results for Periodically Forced Hopf Bifurcations\"\"; \"\"3.3. An Application: The Brusselator\"\"; \"\"3.4. Discussion of Results\"\"; \"\"Chapter 4. Invariant Manifolds\"\"; \"\"4.1. Standardizing the Linear Part of the Unforced Equation\"\""]
[{"$nulls":4},"\"\"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.   Â³ 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\"\""]
[{"$nulls":4},"\"\"7.2. The Map   _{  } and a Derived 2-D System\"\"\"\"7.3. Proofs of Theorems 3.2 and 3.5\"\"; \"\"7.4. Further Analytic Preparation for Theorem 2\"\"; \"\"Chapter 8. Strange Attractors with SRB Measures\"\"; \"\"8.1. Review of Results from [WY1] and [WY4]\"\"; \"\"8.2. Proof of Theorem 3.4\"\"; \"\"Chapter 9. Application: The Brusselator\"\"; \"\"9.1. The Dirichlet "]
[{"$nulls":4},"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\"\""]
[{"$nulls":4},"\"\"Appendix C. Proofs of Proposition 8.1 and Lemma 8.2\"\"\"\"Bibliography\"\""]