Geography of order and chaos in mechanics: investigations of quasi-integrable systems with analytical, numerical, and graphical tools
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York [u.a.]
Birkhäuser
2013
|
| Schriftenreihe: | Progress in mathematical physics
64 |
| Schlagworte: | |
| Online-Zugang: | BTU01 TUM01 UBA01 UBM01 UBT01 UBW01 UPA01 Volltext Inhaltsverzeichnis Abstract |
| Beschreibung: | 1 Online-Ressource |
| ISBN: | 9780817683696 9780817683702 |
| DOI: | 10.1007/978-0-8176-8370-2 |
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Datensatz im Suchindex
| _version_ | 1804149674166190080 |
|---|---|
| adam_text | GEOGRAPHY OF ORDER AND CHAOS IN MECHANICS
/ CORDANI, BRUNO
: 2013
TABLE OF CONTENTS / INHALTSVERZEICHNIS
PREFACE
LIST OF FIGURES
1 INTRODUCTORY SURVEY
2 ANALYTICAL MECHANICS AND INTEGRABLE SYSTEMS
3 PERTURBATION THEORY
4 NUMERICAL TOOLS I: ODE INTEGRATION
5 NUMERICAL TOOLS II: DETECTING ORDER, CHAOS, AND RESONANCES
6 THE KEPLER PROBLEM
7 THEKEPLER PROGRAM
8 SOME PERTURBED KEPLERIAN SYSTEMS
9 THE MULTI-BODY GRAVITATIONAL PROBLEM
BIBLIOGRAPHY
INDEX
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
GEOGRAPHY OF ORDER AND CHAOS IN MECHANICS
/ CORDANI, BRUNO
: 2013
ABSTRACT / INHALTSTEXT
THIS ORIGINAL MONOGRAPH AIMS TO EXPLORE THE DYNAMICS IN THE PARTICULAR
BUT VERY IMPORTANT AND SIGNIFICANT CASE OF QUASI-INTEGRABLE HAMILTONIAN
SYSTEMS, OR INTEGRABLE SYSTEMS SLIGHTLY PERTURBED BY OTHER FORCES. WITH
BOTH ANALYTIC AND NUMERICAL METHODS, THE BOOK STUDIES SEVERAL OF THESE
SYSTEMS—INCLUDING FOR EXAMPLE THE HYDROGEN ATOM OR THE SOLAR SYSTEM,
WITH THE ASSOCIATED ARNOLD WEB—THROUGH MODERN TOOLS SUCH AS THE
FREQUENCY-MODIFIED FOURIER TRANSFORM, WAVELETS, AND THE
FREQUENCY-MODULATION INDICATOR. MEANWHILE, IT DRAWS HEAVILY ON THE MORE
STANDARD KAM AND NEKHOROSHEV THEOREMS. GEOGRAPHY OF ORDER AND CHAOS IN
MECHANICS CONTAINS MANY FIGURES THAT ILLUMINATE ITS CONCEPTS IN NOVEL
WAYS, BUT PERHAPS ITS MOST USEFUL FEATURE IS ITS INCLUSION OF SOFTWARE
TO REPRODUCE THE VARIOUS NUMERICAL EXPERIMENTS. THE GRAPHICAL USER
INTERFACES OF FIVE SUPPLIED MATLAB PROGRAMS ALLOWS READERS WITHOUT ANY
KNOWLEDGE OF COMPUTER PROGRAMMING TO VISUALIZE AND EXPERIMENT WITH THE
DISTRIBUTION OF ORDER, CHAOS AND RESONANCES IN VARIOUS HAMILTONIAN
SYSTEMS. THIS MONOGRAPH WILL BE A VALUABLE RESOURCE FOR PROFESSIONAL
RESEARCHERS AND CERTAIN ADVANCED UNDERGRADUATE STUDENTS IN MATHEMATICS
AND PHYSICS, BUT MOSTLY WILL BE AN EXCEPTIONAL REFERENCE FOR PH.D.
STUDENTS WITH AN INTEREST IN PERTURBATION THEORY
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
| any_adam_object | 1 |
| author | Cordani, Bruno |
| author_GND | (DE-588)124183069 |
| author_facet | Cordani, Bruno |
| author_role | aut |
| author_sort | Cordani, Bruno |
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| bvnumber | BV040589412 |
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| classification_tum | MAT 000 |
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| ctrlnum | (OCoLC)812053663 (DE-599)BVBBV040589412 |
| dewey-full | 530.15 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics |
| dewey-raw | 530.15 |
| dewey-search | 530.15 |
| dewey-sort | 3530.15 |
| dewey-tens | 530 - Physics |
| discipline | Physik Mathematik |
| doi_str_mv | 10.1007/978-0-8176-8370-2 |
| format | Electronic eBook |
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| spelling | Cordani, Bruno Verfasser (DE-588)124183069 aut Geography of order and chaos in mechanics investigations of quasi-integrable systems with analytical, numerical, and graphical tools Bruno Cordani New York [u.a.] Birkhäuser 2013 1 Online-Ressource txt rdacontent c rdamedia cr rdacarrier Progress in mathematical physics 64 KAM-Theorie (DE-588)4329269-0 gnd rswk-swf Kepler-Bewegung (DE-588)4163577-2 gnd rswk-swf MATLAB (DE-588)4329066-8 gnd rswk-swf Kepler-Bewegung (DE-588)4163577-2 s MATLAB (DE-588)4329066-8 s KAM-Theorie (DE-588)4329269-0 s 1\p DE-604 Progress in mathematical physics 64 (DE-604)BV035421269 64 https://doi.org/10.1007/978-0-8176-8370-2 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025417390&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025417390&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Cordani, Bruno Geography of order and chaos in mechanics investigations of quasi-integrable systems with analytical, numerical, and graphical tools Progress in mathematical physics KAM-Theorie (DE-588)4329269-0 gnd Kepler-Bewegung (DE-588)4163577-2 gnd MATLAB (DE-588)4329066-8 gnd |
| subject_GND | (DE-588)4329269-0 (DE-588)4163577-2 (DE-588)4329066-8 |
| title | Geography of order and chaos in mechanics investigations of quasi-integrable systems with analytical, numerical, and graphical tools |
| title_auth | Geography of order and chaos in mechanics investigations of quasi-integrable systems with analytical, numerical, and graphical tools |
| title_exact_search | Geography of order and chaos in mechanics investigations of quasi-integrable systems with analytical, numerical, and graphical tools |
| title_full | Geography of order and chaos in mechanics investigations of quasi-integrable systems with analytical, numerical, and graphical tools Bruno Cordani |
| title_fullStr | Geography of order and chaos in mechanics investigations of quasi-integrable systems with analytical, numerical, and graphical tools Bruno Cordani |
| title_full_unstemmed | Geography of order and chaos in mechanics investigations of quasi-integrable systems with analytical, numerical, and graphical tools Bruno Cordani |
| title_short | Geography of order and chaos in mechanics |
| title_sort | geography of order and chaos in mechanics investigations of quasi integrable systems with analytical numerical and graphical tools |
| title_sub | investigations of quasi-integrable systems with analytical, numerical, and graphical tools |
| topic | KAM-Theorie (DE-588)4329269-0 gnd Kepler-Bewegung (DE-588)4163577-2 gnd MATLAB (DE-588)4329066-8 gnd |
| topic_facet | KAM-Theorie Kepler-Bewegung MATLAB |
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