Qualitative analysis of the anisotropic Kepler problem:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Providence, RI
American Mathematical Society
1984
|
| Schriftenreihe: | American Mathematical Society: Memoirs of the American Mathematical Society
312 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Volume 52, Number 312 (second of 3 numbers) |
| Beschreibung: | VIII, 115 S. graph. Darst. |
| ISBN: | 0821823094 |
Internformat
MARC
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| 245 | 1 | 0 | |a Qualitative analysis of the anisotropic Kepler problem |c Josefina Casasayas and Jaume Llibre |
| 264 | 1 | |a Providence, RI |b American Mathematical Society |c 1984 | |
| 300 | |a VIII, 115 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a American Mathematical Society: Memoirs of the American Mathematical Society |v 312 | |
| 500 | |a Volume 52, Number 312 (second of 3 numbers) | ||
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| 650 | 7 | |a Equacoes Diferenciais |2 larpcal | |
| 650 | 7 | |a Hamilton-vergelijkingen |2 gtt | |
| 650 | 7 | |a Matematica |2 larpcal | |
| 650 | 4 | |a Differentiable dynamical systems | |
| 650 | 4 | |a Differential equations | |
| 650 | 4 | |a Hamiltonian systems | |
| 650 | 0 | 7 | |a Hamiltonsches System |0 (DE-588)4139943-2 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Anisotropes Eigenwertproblem |0 (DE-588)4142503-0 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Quantenmechanik |0 (DE-588)4047989-4 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Kepler-Bewegung |0 (DE-588)4163577-2 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Dynamisches System |0 (DE-588)4013396-5 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Kepler-Bewegung |0 (DE-588)4163577-2 |D s |
| 689 | 0 | 1 | |a Hamiltonsches System |0 (DE-588)4139943-2 |D s |
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| 689 | 1 | 0 | |a Kepler-Bewegung |0 (DE-588)4163577-2 |D s |
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Datensatz im Suchindex
| _version_ | 1804121945980010496 |
|---|---|
| adam_text | TABLE OF CONTENTS
Page
^. 0 INTRODUCTION vii
y. I THE KEPLER PROBLEM
(1.1) Formulation 1
(1.2) Collision manifold 1
(1.3) Infinity manifolds 3
(1.4) Summary on the singularities 4
(1.5) Heteroclinic orbits 5
(1.6) Global flow 7
(1.7) Poincarg map 15
y. II THE ANISOTROPIC KEPLER PROBLEM
(II. 1) Formulation 17
(11.2) Symmetries 18
(11.3) The Collision manifold 20
(11.4) The Infinity manifolds 23
(11.5) Invariant manifolds I 25
n
(11.6) Heteroclinic orbits 26
(11.7) The flow on the collision manifold 32
fl. Ill THE FLOW FOR NON NEGATIVE ENERGY LEVELS
(111.1) The case h=0 40
(111.2) The case h 3 45
$. IV THE FLOW ON NEGATIVE ENERGY LEVELS WHEN U 9/8
(IV.1) The intersection of the invariant manifolds with the surface
of section v=0 46
(IV.2) The PoincarS maps g,f and h on v=0 53
(IV.3) The invariant manifolds under g and f 58
(IV.4) Geometrical interpretation of the neighbourhoods of the
invariant manifolds 60
iv TABLE OF CONTENTS
(IV.5) Regions with a constant number of crossings with the
q2 axis, the map S g 65
(IV.6) Basic sets for dynamical description 69
(IV.7) A subshift as subsystem of h 83
(IV.8) Gutzwiller s Theorem 91
^.V THE FLOW ON NEGATIVE ENERGY LEVELS WHEN 1 U 9/8
(V.I) The intersection of the invariant manifolds with the
surface of section v=0 93
(V.2) Dynamical description 99
j£vi SYMMETRIC PERIODIC ORBITS
(VI.1) Definitions and preliminary results 100
(VI.2) The case P=l 103
(VI.3) The case u 9/8 104
APPENDIX 112
REFERENCES 113
|
| any_adam_object | 1 |
| author | Casasayas, Josefina Llibre, Jaume 1952- |
| author_GND | (DE-588)132202360 |
| author_facet | Casasayas, Josefina Llibre, Jaume 1952- |
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| author_sort | Casasayas, Josefina |
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| dewey-full | 515.3/5 510 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis 510 - Mathematics |
| dewey-raw | 515.3/5 510 |
| dewey-search | 515.3/5 510 |
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| discipline | Mathematik |
| format | Book |
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| illustrated | Illustrated |
| indexdate | 2024-07-09T17:06:03Z |
| institution | BVB |
| isbn | 0821823094 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-004991185 |
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| physical | VIII, 115 S. graph. Darst. |
| publishDate | 1984 |
| publishDateSearch | 1984 |
| publishDateSort | 1984 |
| publisher | American Mathematical Society |
| record_format | marc |
| series | American Mathematical Society: Memoirs of the American Mathematical Society |
| series2 | American Mathematical Society: Memoirs of the American Mathematical Society |
| spelling | Casasayas, Josefina Verfasser aut Qualitative analysis of the anisotropic Kepler problem Josefina Casasayas and Jaume Llibre Providence, RI American Mathematical Society 1984 VIII, 115 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier American Mathematical Society: Memoirs of the American Mathematical Society 312 Volume 52, Number 312 (second of 3 numbers) Differentievergelijkingen gtt Equacoes Diferenciais larpcal Hamilton-vergelijkingen gtt Matematica larpcal Differentiable dynamical systems Differential equations Hamiltonian systems Hamiltonsches System (DE-588)4139943-2 gnd rswk-swf Anisotropes Eigenwertproblem (DE-588)4142503-0 gnd rswk-swf Quantenmechanik (DE-588)4047989-4 gnd rswk-swf Kepler-Bewegung (DE-588)4163577-2 gnd rswk-swf Dynamisches System (DE-588)4013396-5 gnd rswk-swf Kepler-Bewegung (DE-588)4163577-2 s Hamiltonsches System (DE-588)4139943-2 s DE-604 Dynamisches System (DE-588)4013396-5 s Anisotropes Eigenwertproblem (DE-588)4142503-0 s Quantenmechanik (DE-588)4047989-4 s Llibre, Jaume 1952- Verfasser (DE-588)132202360 aut American Mathematical Society: Memoirs of the American Mathematical Society 312 (DE-604)BV008000141 312 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=004991185&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Casasayas, Josefina Llibre, Jaume 1952- Qualitative analysis of the anisotropic Kepler problem American Mathematical Society: Memoirs of the American Mathematical Society Differentievergelijkingen gtt Equacoes Diferenciais larpcal Hamilton-vergelijkingen gtt Matematica larpcal Differentiable dynamical systems Differential equations Hamiltonian systems Hamiltonsches System (DE-588)4139943-2 gnd Anisotropes Eigenwertproblem (DE-588)4142503-0 gnd Quantenmechanik (DE-588)4047989-4 gnd Kepler-Bewegung (DE-588)4163577-2 gnd Dynamisches System (DE-588)4013396-5 gnd |
| subject_GND | (DE-588)4139943-2 (DE-588)4142503-0 (DE-588)4047989-4 (DE-588)4163577-2 (DE-588)4013396-5 |
| title | Qualitative analysis of the anisotropic Kepler problem |
| title_auth | Qualitative analysis of the anisotropic Kepler problem |
| title_exact_search | Qualitative analysis of the anisotropic Kepler problem |
| title_full | Qualitative analysis of the anisotropic Kepler problem Josefina Casasayas and Jaume Llibre |
| title_fullStr | Qualitative analysis of the anisotropic Kepler problem Josefina Casasayas and Jaume Llibre |
| title_full_unstemmed | Qualitative analysis of the anisotropic Kepler problem Josefina Casasayas and Jaume Llibre |
| title_short | Qualitative analysis of the anisotropic Kepler problem |
| title_sort | qualitative analysis of the anisotropic kepler problem |
| topic | Differentievergelijkingen gtt Equacoes Diferenciais larpcal Hamilton-vergelijkingen gtt Matematica larpcal Differentiable dynamical systems Differential equations Hamiltonian systems Hamiltonsches System (DE-588)4139943-2 gnd Anisotropes Eigenwertproblem (DE-588)4142503-0 gnd Quantenmechanik (DE-588)4047989-4 gnd Kepler-Bewegung (DE-588)4163577-2 gnd Dynamisches System (DE-588)4013396-5 gnd |
| topic_facet | Differentievergelijkingen Equacoes Diferenciais Hamilton-vergelijkingen Matematica Differentiable dynamical systems Differential equations Hamiltonian systems Hamiltonsches System Anisotropes Eigenwertproblem Quantenmechanik Kepler-Bewegung Dynamisches System |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=004991185&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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