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A geometric setting for Hamiltonian perturbation theory /
Introduction Part 1. Dynamics: Lie-Theoretic preliminaries Action-group coordinates On the existence of action-group coordinates Naive averaging An abstract formulation of Nekhoroshev's theorem Applying the abstract Nekhoroshev's theorem to action-group coordinates Nekhoroshev-type estimat...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence, R.I. :
American Mathematical Society,
©2001.
|
| Colección: | Memoirs of the American Mathematical Society ;
no. 727. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 100 | 1 | |a Blaom, Anthony D., |d 1968- |1 https://id.oclc.org/worldcat/entity/E39PCjCvHDrhtDX9rwfjkmqVJC | |
| 245 | 1 | 2 | |a A geometric setting for Hamiltonian perturbation theory / |c Anthony D. Blaom. |
| 260 | |a Providence, R.I. : |b American Mathematical Society, |c ©2001. | ||
| 300 | |a 1 online resource (xviii, 112 pages) : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
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| 490 | 1 | |a Memoirs of the American Mathematical Society, |x 1947-6221 ; |v v. 727 | |
| 500 | |a "September 2001, volume 153, number 727 (third of 5 numbers)." | ||
| 504 | |a Includes bibliographical references (pages 110-112). | ||
| 588 | 0 | |a Print version record. | |
| 520 | 8 | |a Introduction Part 1. Dynamics: Lie-Theoretic preliminaries Action-group coordinates On the existence of action-group coordinates Naive averaging An abstract formulation of Nekhoroshev's theorem Applying the abstract Nekhoroshev's theorem to action-group coordinates Nekhoroshev-type estimates for momentum maps Part 2. Geometry: On Hamiltonian $G$-spaces with regular momenta Action-group coordinates as a symplectic cross-section Constructing action-group coordinates The axisymmetric Euler-Poinsot rigid body Passing from dynamic integrability to geometric integrability Concluding remarks Appendix A. Proof of the Nekhoroshev-Lochak theorem Appendix B. Proof the ${\mathcal W}$ is a slice Appendix C. Proof of the extension lemma Appendix D. An application of converting dynamic integrability into geometric integrability: The Euler-Poinsot rigid body revisited Appendix E. Dual pairs, leaf correspondence, and symplectic reduction Bibliography. | |
| 505 | 0 | 0 | |t Introduction |t Part 1. Dynamics |t 1. Lie-theoretic preliminaries |t 2. Action-group coordinates |t 3. On the existence of action-group coordinates |t 4. Naive averaging |t 5. An abstract formulation of Nekhoroshev's theorem |t 6. Applying the abstract Nekhoroshev theorem to action-group coordinates |t 7. Nekhoroshev-type estimates for momentum maps |t Part 2. Geometry |t 8. On Hamiltonian $G$-spaces with regular momenta |t 9. Action-group coordinates as a symplectic cross-section |t 10. Constructing action-group coordinates |t 11. The axisymmetric Euler-Poinsot rigid body |t 12. Passing from dynamic integrability to geometric integrability |t 13. Concluding remarks. |
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 650 | 0 | |a Perturbation (Mathematics) | |
| 650 | 0 | |a Hamiltonian systems. | |
| 650 | 6 | |a Perturbation (Mathématiques) | |
| 650 | 6 | |a Systèmes hamiltoniens. | |
| 650 | 7 | |a Hamiltonian systems |2 fast | |
| 650 | 7 | |a Perturbation (Mathematics) |2 fast | |
| 776 | 0 | 8 | |i Print version: |a Blaom, Anthony D., 1968- |t Geometric setting for Hamiltonian perturbation theory / |x 0065-9266 |z 9780821827208 |
| 830 | 0 | |a Memoirs of the American Mathematical Society ; |v no. 727. |x 0065-9266 | |
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