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Strange attractors for periodically forced parabolic equations /
"We prove that in systems undergoing Hopf bifurcations, the effects of periodic forcing can be amplified by the shearing in the system to create sustained chaotic behavior. Specifically, strange attractors with SRB measures are shown to exist. The analysis is carried out for infinite dimensiona...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence, Rhode Island :
American Mathematical Society,
[2013]
|
| Colección: | Memoirs of the American Mathematical Society ;
no 1054. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 100 | 1 | |a Lu, Kening, |d 1962- |e author. |1 https://id.oclc.org/worldcat/entity/E39PCjFDDJ6K3RVvhqJGFfCjVK | |
| 245 | 1 | 0 | |a Strange attractors for periodically forced parabolic equations / |c Kening Lu, Qiudong Wang, Lai-Sang Young. |
| 264 | 1 | |a Providence, Rhode Island : |b American Mathematical Society, |c [2013] | |
| 264 | 4 | |c ©2012 | |
| 300 | |a 1 online resource (v, 85 pages) : |b color illustrations. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Memoirs of the American Mathematical Society, |x 0065-9266 ; |v no. 1054 | |
| 500 | |a "July 2013, Volume 224, Number 1054 (third of 4 numbers)." | ||
| 504 | |a Includes bibliographical references (pages 83-85). | ||
| 520 | 3 | |a "We prove that in systems undergoing Hopf bifurcations, the effects of periodic forcing can be amplified by the shearing in the system to create sustained chaotic behavior. Specifically, strange attractors with SRB measures are shown to exist. The analysis is carried out for infinite dimensional systems, and the results are applicable to partial differential equations. Application of the general results to a concrete equation, namely the Brusselator, is given."--Page v. | |
| 588 | 0 | |a Print version record. | |
| 505 | 0 | 0 | |t Chapter 1. Introduction |t Chapter 2. Basic definitions and facts |t Chapter 3. Statement of theorems |t Chapter 4. Invariant manifolds |t Chapter 5. Canonical form of equations around the limit cycle |t Chapter 6. Preliminary estimates on solutions of the unforced equation |t Chapter 7. Time-$T$ map of forced equation and derived 2-D system |t Chapter 8. Strange attractors with SRB measures |t Chapter 9. Application: The Brusselator |t Appendix A. Proofs of Propositions 3.1-3.3 |t Appendix B. Proof of Proposition 7.5 |t Appendix C. Proofs of Proposition 8.1 and Lemma 8.2. |
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 650 | 0 | |a Attractors (Mathematics) | |
| 650 | 0 | |a Differential equations, Parabolic. | |
| 650 | 0 | |a Periodic functions. | |
| 650 | 6 | |a Attracteurs (Mathématiques) | |
| 650 | 6 | |a Équations différentielles paraboliques. | |
| 650 | 6 | |a Fonctions périodiques. | |
| 650 | 7 | |a MATHEMATICS |x Calculus. |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS |x Mathematical Analysis. |2 bisacsh | |
| 650 | 7 | |a Attractors (Mathematics) |2 fast | |
| 650 | 7 | |a Differential equations, Parabolic |2 fast | |
| 650 | 7 | |a Periodic functions |2 fast | |
| 700 | 1 | |a Wang, Qiudong, |d 1962- |e author. |1 https://id.oclc.org/worldcat/entity/E39PBJjMFKW9xm4c8tCKRtmWXd | |
| 700 | 1 | |a Young, L.-S. |q (Lai-Sang), |e author. |1 https://id.oclc.org/worldcat/entity/E39PBJpV4WQTKFmMM9JbcDdRKd | |
| 758 | |i has work: |a Strange attractors for periodically forced parabolic equations (Text) |1 https://id.oclc.org/worldcat/entity/E39PCFVPTkkCf4Th8cxGQM6WTb |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version: |a Lu, Kening, 1962- |t Strange attractors for periodically forced parabolic equations |z 9780821884843 |w (DLC) 2013006850 |w (OCoLC)840937605 |
| 830 | 0 | |a Memoirs of the American Mathematical Society ; |v no 1054. | |
| 856 | 4 | 0 | |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=3114198 |z Texto completo |
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