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Systems of Transversal Sections near Critical Energy Levels of Hamiltonian Systems in R⁴
In this article the authors study Hamiltonian flows associated to smooth functions H:\mathbb R^4 \to \mathbb R restricted to energy levels close to critical levels. They assume the existence of a saddle-center equilibrium point p_c in the zero energy level H^{-1}(0). The Hamiltonian function near p_...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence :
American Mathematical Society,
2018.
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| Colección: | Memoirs of the American Mathematical Society Ser.
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| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 100 | 1 | |a Paulo, Naiara V. de, |d 1986- |1 https://id.oclc.org/worldcat/entity/E39PCjGqWVQvMCXTdxyvmqYqXq | |
| 245 | 1 | 0 | |a Systems of Transversal Sections near Critical Energy Levels of Hamiltonian Systems in R⁴ |
| 260 | |a Providence : |b American Mathematical Society, |c 2018. | ||
| 300 | |a 1 online resource (118 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 Ser. ; |v v. 252 | |
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |a Cover; Title page; Chapter 1. Introduction; 1.1. Saddle-center equilibrium points; 1.2. Strictly convex subsets of the critical energy level; 1.3. 2-3 foliations; 1.4. Main statement; 1.5. Applications; 1.6. An open question; Chapter 2. Proof of the main statement; Chapter 3. Proof of Proposition 2.1; Chapter 4. Proof of Proposition 2.2; Chapter 5. Proof of Proposition 2.8; Chapter 6. Proof of Proposition 2.9; Chapter 7. Proof of Proposition 2.10- ); Chapter 8. Proof of Proposition 2.10-ii); Chapter 9. Proof of Proposition 2.10-iii). | |
| 505 | 8 | |a Appendix A. Basics on pseudo-holomorphic curves in symplectizationsAppendix B. Linking properties; Appendix C. Uniqueness and intersections of pseudo-holomorphic curves; References; Back Cover. | |
| 520 | |a In this article the authors study Hamiltonian flows associated to smooth functions H:\mathbb R^4 \to \mathbb R restricted to energy levels close to critical levels. They assume the existence of a saddle-center equilibrium point p_c in the zero energy level H^{-1}(0). The Hamiltonian function near p_c is assumed to satisfy Moser's normal form and p_c is assumed to lie in a strictly convex singular subset S_0 of H^{-1}(0). Then for all E \gt 0 small, the energy level H^{-1}(E) contains a subset S_E near S_0, diffeomorphic to the closed 3-ball, which admits a system of transversal sections \mathc. | ||
| 504 | |a Includes bibliographical references (pages 103-105). | ||
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 650 | 0 | |a Hamiltonian systems. | |
| 650 | 0 | |a Energy levels (Quantum mechanics) | |
| 650 | 0 | |a Vector fields. | |
| 650 | 6 | |a Systèmes hamiltoniens. | |
| 650 | 6 | |a Niveaux d'énergie (Mécanique quantique) | |
| 650 | 6 | |a Champs vectoriels. | |
| 650 | 7 | |a Campos vectoriales |2 embne | |
| 650 | 7 | |a Sistemas de Hamilton |2 embne | |
| 650 | 7 | |a Energy levels (Quantum mechanics) |2 fast | |
| 650 | 7 | |a Hamiltonian systems |2 fast | |
| 650 | 7 | |a Vector fields |2 fast | |
| 700 | 1 | |a Salomão, Pedro A. S. | |
| 758 | |i has work: |a Systems of Transversal Sections near Critical Energy Levels of Hamiltonian Systems in R⁴ (Text) |1 https://id.oclc.org/worldcat/entity/E39PCFH3MGdt3fJxp49CHRRxQm |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version: |a De, Naiara V. |t Systems of Transversal Sections near Critical Energy Levels of Hamiltonian Systems in R⁴. |d Providence : American Mathematical Society, ©2018 |z 9781470428013 |
| 830 | 0 | |a Memoirs of the American Mathematical Society Ser. | |
| 856 | 4 | 0 | |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=5347056 |z Texto completo |
| 938 | |a EBL - Ebook Library |b EBLB |n EBL5347056 | ||
| 938 | |a YBP Library Services |b YANK |n 15273584 | ||
| 938 | |a Askews and Holts Library Services |b ASKH |n AH37445154 | ||
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