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Measure and capacity of wandering domains in Gevrey near-integrable exact symplectic systems /
A wandering domain for a diffeomorphism \Psi of \mathbb A^n=T^*\mathbb T^n is an open connected set W such that \Psi ^k(W)\cap W=\emptyset for all k\in \mathbb Z^*. The authors endow \mathbb A^n with its usual exact symplectic structure. An integrable diffeomorphism, i.e., the time-one map \Phi ^h o...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence, RI :
American Mathematical Society,
2019.
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| Colección: | Memoirs of the American Mathematical Society ;
no. 1235. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 082 | 0 | 4 | |a 516.3/6 |2 23 |
| 049 | |a UAMI | ||
| 100 | 1 | |a Lazzarini, Laurent, |d 1971- |e author. |1 https://id.oclc.org/worldcat/entity/E39PCjKh6mF8gp4mmYxyyy4ykC | |
| 245 | 1 | 0 | |a Measure and capacity of wandering domains in Gevrey near-integrable exact symplectic systems / |c Laurent Lazzarini, Jean-Pierre Marco, David Sauzin. |
| 264 | 1 | |a Providence, RI : |b American Mathematical Society, |c 2019. | |
| 264 | 4 | |c ©2019 | |
| 300 | |a 1 online resource (vi, 110 pages) | ||
| 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 1947-6221 ; |v no. volume 257, number 1235 | |
| 500 | |a "January 2019, volume 257, number 1235 (fifth of 6 numbers)." | ||
| 504 | |a Includes bibliographical references (pages 109-110). | ||
| 505 | 0 | 0 | |t Chapter 1. Introduction |t Chapter 2. Presentation of the results |t Chapter 3. Stability theory for Gevrey near-integrable maps |t Chapter 4. A quantitative KAM result -- proof of Part (i) of Theorem D |t Chapter 5. Coupling devices, multi-dimensional periodic domains, wandering domains |t Appendix A. \texorpdfstring Algebraic operations in $\mathscr O_k$Algebraic operations in O |t Appendix B. Estimates on Gevrey maps |t Appendix C. Generating functions for exact symplectic $C^\infty $ maps |t Appendix D. Proof of Lemma 2.5 |t Acknowledgements |
| 588 | 0 | |a Print version record. | |
| 520 | |a A wandering domain for a diffeomorphism \Psi of \mathbb A^n=T^*\mathbb T^n is an open connected set W such that \Psi ^k(W)\cap W=\emptyset for all k\in \mathbb Z^*. The authors endow \mathbb A^n with its usual exact symplectic structure. An integrable diffeomorphism, i.e., the time-one map \Phi ^h of a Hamiltonian h: \mathbb A^n\to \mathbb R which depends only on the action variables, has no nonempty wandering domains. The aim of this paper is to estimate the size (measure and Gromov capacity) of wandering domains in the case of an exact symplectic perturbation of \Phi ^h, in the analytic or. | ||
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 650 | 0 | |a Symplectic geometry. | |
| 650 | 0 | |a Symplectic groups. | |
| 650 | 0 | |a Domains of holomorphy. | |
| 650 | 6 | |a Géométrie symplectique. | |
| 650 | 6 | |a Groupes symplectiques. | |
| 650 | 6 | |a Domaines d'holomorphie. | |
| 650 | 7 | |a Domains of holomorphy |2 fast | |
| 650 | 7 | |a Symplectic geometry |2 fast | |
| 650 | 7 | |a Symplectic groups |2 fast | |
| 700 | 1 | |a Marco, Jean-Pierre, |d 1960- |e author. |1 https://id.oclc.org/worldcat/entity/E39PCjyGbGMTwrdRt9YbF9hQ4m | |
| 700 | 1 | |a Sauzin, D., |d 1966- |e author. |1 https://id.oclc.org/worldcat/entity/E39PCjJGbDJpfTGqg88WdvJdQq | |
| 758 | |i has work: |a Measure and capacity of wandering domains in Gevrey near-integrable exact symplectic systems (Text) |1 https://id.oclc.org/worldcat/entity/E39PCFQhhkgmRCydjHKX3THcT3 |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version: |a Lazzarini, Laurent, 1971- |t Measure and capacity of wandering domains in Gevrey near-integrable exact symplectic systems. |x 0065-9266 |z 9781470434922 |w (DLC) 2018053281 |
| 830 | 0 | |a Memoirs of the American Mathematical Society ; |v no. 1235. |x 1947-6221 | |
| 856 | 4 | 0 | |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=5725347 |z Texto completo |
| 880 | 8 | |6 505-00/(S |a 3.5.1. Notations and statementsBirkhoff normal form; Herman normal form; 3.5.2. Proof of Proposition 3.16; 3.5.3. Proof of Proposition 3.17; 3.5.4. Proof of Proposition 3.18; 3.6. The invariant curve theorem; 3.7. Conclusion of the proof of Theorem F; Chapter 4. Coupling devices, multi-dimensional periodic domains, wandering domains; 4.1. Coupling devices; 4.2. Proof of Part (ii) of Theorem D (periodic domains in \Aⁿ⁻¹); 4.2.1. Overview of the method; 4.2.2. A -periodic polydisc for a near-integrable system of the form Φ^{ }∘ ^{ } in \A | |
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| 938 | |a ProQuest Ebook Central |b EBLB |n EBL5725347 | ||
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