A geometric setting for Hamiltonian perturbation theory:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Providence, RI
American Mathematical Society
2001
|
| Schriftenreihe: | Memoirs of the American Mathematical Society
727 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Volume 153, Number 727 (third of 5 numbers) |
| Beschreibung: | XVIII, 112 S. graph. Darst. |
| ISBN: | 0821827200 |
Internformat
MARC
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| 100 | 1 | |a Blaom, Anthony D. |d 1968- |e Verfasser |0 (DE-588)173486983 |4 aut | |
| 245 | 1 | 0 | |a A geometric setting for Hamiltonian perturbation theory |c Anthony D. Blaom |
| 264 | 1 | |a Providence, RI |b American Mathematical Society |c 2001 | |
| 300 | |a XVIII, 112 S. |b graph. Darst. | ||
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| 490 | 1 | |a Memoirs of the American Mathematical Society |v 727 | |
| 500 | |a Volume 153, Number 727 (third of 5 numbers) | ||
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Datensatz im Suchindex
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| adam_text | Contents
Abstract viii
Notation ix
Overture xii
Introduction 1
Part 1. Dynamics 7
Chapter 1. Lie Theoretic Preliminaries 8
Chapter 2. Action Group Coordinates 10
Chapter 3. On the Existence of Action Group Coordinates 15
Chapter 4. Naive Averaging 21
Chapter 5. An Abstract Formulation of Nekhoroshevs Theorem 26
Chapter 6. Applying the Abstract Nekhoroshev Theorem to Action
Group Coordinates . 51
Chapter 7. Nekhoroshev Type Estimates for Momentum Maps 12
Part 2. Geometry 45
Chapter 8. On Hamiltonian G Spaces with Regular Momenta 46
Chapter 9. Action Group Coordinates as a Symplectic Cross Section 53
Chapter 10. Constructing Action Group Coordinates 58
Chapter 11. The Axisymmetric Euler Poinsot Rigid Body 05
Chapter 12. Passing from Dynamic Integrability to Geometric
Integrability 70
Chapter 13. Concluding Remarks 75
Appendix A. Proof of the Nekhoroshev Lochak Theorem 77
Appendix B. Proof that W is a Slice 92
Appendix C. Proof of the Extension Lemma 93
Appendix D. An Application of Converting Dynamic Integrability
into Geometric Integrability: The Euler Poinsot Rigid
Body Revisited 95
Appendix E. Dual Pairs, Leaf Correspondence, and Symplectic
Reduction 100
Bibliography 110
vii
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| any_adam_object | 1 |
| author | Blaom, Anthony D. 1968- |
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| callnumber-subject | QA - Mathematics |
| classification_rvk | SI 130 |
| classification_tum | MAT 460f MAT 340f MAT 350f |
| ctrlnum | (OCoLC)248038292 (DE-599)BVBBV013912598 |
| dewey-full | 510 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics |
| dewey-raw | 510 |
| dewey-search | 510 |
| dewey-sort | 3510 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV013912598 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T18:54:16Z |
| institution | BVB |
| isbn | 0821827200 |
| language | English |
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| physical | XVIII, 112 S. graph. Darst. |
| publishDate | 2001 |
| publishDateSearch | 2001 |
| publishDateSort | 2001 |
| publisher | American Mathematical Society |
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| series | Memoirs of the American Mathematical Society |
| series2 | Memoirs of the American Mathematical Society |
| spelling | Blaom, Anthony D. 1968- Verfasser (DE-588)173486983 aut A geometric setting for Hamiltonian perturbation theory Anthony D. Blaom Providence, RI American Mathematical Society 2001 XVIII, 112 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Memoirs of the American Mathematical Society 727 Volume 153, Number 727 (third of 5 numbers) Störungstheorie - Hamiltonsches System Störungstheorie (DE-588)4128420-3 gnd rswk-swf Hamiltonsches System (DE-588)4139943-2 gnd rswk-swf Hamiltonsches System (DE-588)4139943-2 s Störungstheorie (DE-588)4128420-3 s DE-604 Memoirs of the American Mathematical Society 727 (DE-604)BV008000141 727 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009518742&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Blaom, Anthony D. 1968- A geometric setting for Hamiltonian perturbation theory Memoirs of the American Mathematical Society Störungstheorie - Hamiltonsches System Störungstheorie (DE-588)4128420-3 gnd Hamiltonsches System (DE-588)4139943-2 gnd |
| subject_GND | (DE-588)4128420-3 (DE-588)4139943-2 |
| title | A geometric setting for Hamiltonian perturbation theory |
| title_auth | A geometric setting for Hamiltonian perturbation theory |
| title_exact_search | A geometric setting for Hamiltonian perturbation theory |
| title_full | A geometric setting for Hamiltonian perturbation theory Anthony D. Blaom |
| title_fullStr | A geometric setting for Hamiltonian perturbation theory Anthony D. Blaom |
| title_full_unstemmed | A geometric setting for Hamiltonian perturbation theory Anthony D. Blaom |
| title_short | A geometric setting for Hamiltonian perturbation theory |
| title_sort | a geometric setting for hamiltonian perturbation theory |
| topic | Störungstheorie - Hamiltonsches System Störungstheorie (DE-588)4128420-3 gnd Hamiltonsches System (DE-588)4139943-2 gnd |
| topic_facet | Störungstheorie - Hamiltonsches System Störungstheorie Hamiltonsches System |
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| work_keys_str_mv | AT blaomanthonyd ageometricsettingforhamiltonianperturbationtheory |