Chaotic dynamics: an introduction
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York u.a.
Cambridge Univ. Press
1991
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| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | X, 182 S. graph. Darst. |
| ISBN: | 0521382580 052138897X |
Staff View
MARC
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Record in the Search Index
| _version_ | 1804123903940886528 |
|---|---|
| adam_text | Contents
Preface
Acknowledgments
CHAPTER ONE Introduction
CHAPTER TWO
CHAPTER THREE
CHAPTER FOUR
Some helpful tools
Phase space
Poincaré
Spectral analysis of time series
Problems
Visualization of the pendulum s dynamics
Sensitivity to initial conditions
Phase diagrams and
Time series and power spectra
Basins of attraction
Bifurcation diagrams
Simulations
Toward an understanding of chaos
The logistic map
Period doubling
The periodic windows
Lyapunov exponent
Entropy
Stretching and folding
The circle map
The horseshoe map
Application to the pendulum
Problems
page vn
x
7
7
23
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40
42
44
61
61
68
74
76
77
81
82
85
87
89
90
97
102
108
VI
Contents
CHAPTER FIVE The characterization of chaotic attractors
Dimension
Lyapunov exponents
Lyapunov exponents and dimension
Information change and Lyapunov exponents
Problems
CHAPTER SIX Concluding remarks
Chaos in fluid dynamics
Chaotic chemical reactions
Chaos in lasers
Chaos and quantum physics
Foundations of statistical mechanics
Further reading
Appendix A Numerical integration
Runge-Kutta method
Appendix
References
Index
Diskette order information
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| any_adam_object | 1 |
| author | Baker, Gregory L. Gollub, Jerry P. |
| author_facet | Baker, Gregory L. Gollub, Jerry P. |
| author_role | aut aut |
| author_sort | Baker, Gregory L. |
| author_variant | g l b gl glb j p g jp jpg |
| building | Verbundindex |
| bvnumber | BV009561808 |
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| callnumber-subject | QA - Mathematics |
| classification_rvk | UG 3900 |
| ctrlnum | (OCoLC)232189472 (DE-599)BVBBV009561808 |
| dewey-full | 003 |
| dewey-hundreds | 000 - Computer science, information, general works |
| dewey-ones | 003 - Systems |
| dewey-raw | 003 |
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| dewey-tens | 000 - Computer science, information, general works |
| discipline | Physik Informatik |
| format | Book |
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| illustrated | Illustrated |
| indexdate | 2024-07-09T17:37:10Z |
| institution | BVB |
| isbn | 0521382580 052138897X |
| language | English |
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| owner_facet | DE-20 DE-355 DE-BY-UBR |
| physical | X, 182 S. graph. Darst. |
| publishDate | 1991 |
| publishDateSearch | 1991 |
| publishDateSort | 1991 |
| publisher | Cambridge Univ. Press |
| record_format | marc |
| spelling | Baker, Gregory L. Verfasser aut Chaotic dynamics an introduction Gregory L. Baker and Jerry P. Gollub New York u.a. Cambridge Univ. Press 1991 X, 182 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Chaotic behavior in systems Pendulum Chaos (DE-588)4191419-3 gnd rswk-swf Dynamisches System (DE-588)4013396-5 gnd rswk-swf Chaostheorie (DE-588)4009754-7 gnd rswk-swf Chaotisches System (DE-588)4316104-2 gnd rswk-swf Dynamik (DE-588)4013384-9 gnd rswk-swf Software (DE-588)4055382-6 gnd rswk-swf Nichtlineares dynamisches System (DE-588)4126142-2 gnd rswk-swf Chaostheorie (DE-588)4009754-7 s DE-604 Chaotisches System (DE-588)4316104-2 s Dynamisches System (DE-588)4013396-5 s 1\p DE-604 Nichtlineares dynamisches System (DE-588)4126142-2 s 2\p DE-604 Chaos (DE-588)4191419-3 s 3\p DE-604 Dynamik (DE-588)4013384-9 s 4\p DE-604 Software (DE-588)4055382-6 s 5\p DE-604 Gollub, Jerry P. Verfasser aut Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006318554&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 4\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 5\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Baker, Gregory L. Gollub, Jerry P. Chaotic dynamics an introduction Chaotic behavior in systems Pendulum Chaos (DE-588)4191419-3 gnd Dynamisches System (DE-588)4013396-5 gnd Chaostheorie (DE-588)4009754-7 gnd Chaotisches System (DE-588)4316104-2 gnd Dynamik (DE-588)4013384-9 gnd Software (DE-588)4055382-6 gnd Nichtlineares dynamisches System (DE-588)4126142-2 gnd |
| subject_GND | (DE-588)4191419-3 (DE-588)4013396-5 (DE-588)4009754-7 (DE-588)4316104-2 (DE-588)4013384-9 (DE-588)4055382-6 (DE-588)4126142-2 |
| title | Chaotic dynamics an introduction |
| title_auth | Chaotic dynamics an introduction |
| title_exact_search | Chaotic dynamics an introduction |
| title_full | Chaotic dynamics an introduction Gregory L. Baker and Jerry P. Gollub |
| title_fullStr | Chaotic dynamics an introduction Gregory L. Baker and Jerry P. Gollub |
| title_full_unstemmed | Chaotic dynamics an introduction Gregory L. Baker and Jerry P. Gollub |
| title_short | Chaotic dynamics |
| title_sort | chaotic dynamics an introduction |
| title_sub | an introduction |
| topic | Chaotic behavior in systems Pendulum Chaos (DE-588)4191419-3 gnd Dynamisches System (DE-588)4013396-5 gnd Chaostheorie (DE-588)4009754-7 gnd Chaotisches System (DE-588)4316104-2 gnd Dynamik (DE-588)4013384-9 gnd Software (DE-588)4055382-6 gnd Nichtlineares dynamisches System (DE-588)4126142-2 gnd |
| topic_facet | Chaotic behavior in systems Pendulum Chaos Dynamisches System Chaostheorie Chaotisches System Dynamik Software Nichtlineares dynamisches System |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006318554&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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