Chaotic dynamics: an introduction based on classical mechanics
In the past few decades we have come to understand that even motions in simple systems can have complex and surprising properties. Chaotic Dynamics provides a clear introduction to these chaotic phenomena, based on geometrical interpretations and simple arguments, without the need for prior in-depth...
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| Format: | Electronic eBook |
| Language: | English |
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Cambridge
Cambridge University Press
2006
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| Online Access: | BSB01 FHN01 Volltext |
| Summary: | In the past few decades we have come to understand that even motions in simple systems can have complex and surprising properties. Chaotic Dynamics provides a clear introduction to these chaotic phenomena, based on geometrical interpretations and simple arguments, without the need for prior in-depth scientific and mathematical knowledge. Richly illustrated throughout, examples are taken from classical mechanics whose elementary laws are familiar to the reader. In order to emphasize the general features of chaos, the most important relations are also given in simple mathematical forms, independent of any mechanical interpretation. A broad range of potential applications are presented, ranging from everyday phenomena through engineering and environmental problems to astronomical aspects. Chaos occurs in a variety of scientific disciplines, and proves to be the rule, not the exception. This book is primarily intended for undergraduate students in science, engineering, and mathematics |
| Item Description: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Physical Description: | 1 online resource (xvii, 393 pages) |
| ISBN: | 9780511803277 |
| DOI: | 10.1017/CBO9780511803277 |
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| 245 | 1 | 0 | |a Chaotic dynamics |b an introduction based on classical mechanics |c Tamás Tél, Márton Gruiz ; translated Katalin Kulacsy |
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| 505 | 8 | 0 | |t List of colour plates |t Preface |t Acknowledgements |t How to read the book |g pt. 1 |t The phenomenon : complex motion, unusual geometry |g 1 |t Chaotic motion |g 2 |t Fractal objects |g pt. 2 |t Introductory concepts |g 3 |t Regular motion |g 4 |t Driven motion |g pt. 3 |t Investigation of chaotic motion |g 5 |t Chaos in dissipative systems |g 6 |t Transient chaos in dissipative systems |g 7 |t Chaos in conservative systems |g 8 |t Chaotic scattering |g 9 |t Applications of chaos |g 10 |t Epilogue : outlook |t Appendix |g A.1 |t Deriving stroboscopic maps |g A.2 |t Writing equations in dimensionless forms |g A.3 |t Numerical solution of ordinary differential equations |g A.4 |t Sample programs |g A.5 |t Numerical determination of chaos parameters |t Solutions to the problems |t Bibliography |t Index |
| 520 | |a In the past few decades we have come to understand that even motions in simple systems can have complex and surprising properties. Chaotic Dynamics provides a clear introduction to these chaotic phenomena, based on geometrical interpretations and simple arguments, without the need for prior in-depth scientific and mathematical knowledge. Richly illustrated throughout, examples are taken from classical mechanics whose elementary laws are familiar to the reader. In order to emphasize the general features of chaos, the most important relations are also given in simple mathematical forms, independent of any mechanical interpretation. A broad range of potential applications are presented, ranging from everyday phenomena through engineering and environmental problems to astronomical aspects. Chaos occurs in a variety of scientific disciplines, and proves to be the rule, not the exception. This book is primarily intended for undergraduate students in science, engineering, and mathematics | ||
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| contents | List of colour plates Preface Acknowledgements How to read the book The phenomenon : complex motion, unusual geometry Chaotic motion Fractal objects Introductory concepts Regular motion Driven motion Investigation of chaotic motion Chaos in dissipative systems Transient chaos in dissipative systems Chaos in conservative systems Chaotic scattering Applications of chaos Epilogue : outlook Appendix Deriving stroboscopic maps Writing equations in dimensionless forms Numerical solution of ordinary differential equations Sample programs Numerical determination of chaos parameters Solutions to the problems Bibliography Index |
| ctrlnum | (ZDB-20-CBO)CR9780511803277 (OCoLC)992910474 (DE-599)BVBBV043944313 |
| dewey-full | 003.857 |
| dewey-hundreds | 000 - Computer science, information, general works |
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| discipline | Physik Informatik |
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| id | DE-604.BV043944313 |
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| indexdate | 2024-07-10T07:39:21Z |
| institution | BVB |
| isbn | 9780511803277 |
| language | English |
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| spelling | Tél, Tamás Verfasser aut Kaotikus dinamika Chaotic dynamics an introduction based on classical mechanics Tamás Tél, Márton Gruiz ; translated Katalin Kulacsy Cambridge Cambridge University Press 2006 1 online resource (xvii, 393 pages) txt rdacontent c rdamedia cr rdacarrier Title from publisher's bibliographic system (viewed on 05 Oct 2015) List of colour plates Preface Acknowledgements How to read the book pt. 1 The phenomenon : complex motion, unusual geometry 1 Chaotic motion 2 Fractal objects pt. 2 Introductory concepts 3 Regular motion 4 Driven motion pt. 3 Investigation of chaotic motion 5 Chaos in dissipative systems 6 Transient chaos in dissipative systems 7 Chaos in conservative systems 8 Chaotic scattering 9 Applications of chaos 10 Epilogue : outlook Appendix A.1 Deriving stroboscopic maps A.2 Writing equations in dimensionless forms A.3 Numerical solution of ordinary differential equations A.4 Sample programs A.5 Numerical determination of chaos parameters Solutions to the problems Bibliography Index In the past few decades we have come to understand that even motions in simple systems can have complex and surprising properties. Chaotic Dynamics provides a clear introduction to these chaotic phenomena, based on geometrical interpretations and simple arguments, without the need for prior in-depth scientific and mathematical knowledge. Richly illustrated throughout, examples are taken from classical mechanics whose elementary laws are familiar to the reader. In order to emphasize the general features of chaos, the most important relations are also given in simple mathematical forms, independent of any mechanical interpretation. A broad range of potential applications are presented, ranging from everyday phenomena through engineering and environmental problems to astronomical aspects. Chaos occurs in a variety of scientific disciplines, and proves to be the rule, not the exception. This book is primarily intended for undergraduate students in science, engineering, and mathematics Chaotic behavior in systems Dynamics Chaotisches System (DE-588)4316104-2 gnd rswk-swf Dynamik (DE-588)4013384-9 gnd rswk-swf Chaotisches System (DE-588)4316104-2 s Dynamik (DE-588)4013384-9 s 1\p DE-604 Gruiz, Márton Sonstige oth Kulacsy, Katalin trl Erscheint auch als Druckausgabe 978-0-521-54783-3 Erscheint auch als Druckausgabe 978-0-521-83912-9 https://doi.org/10.1017/CBO9780511803277 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Tél, Tamás Chaotic dynamics an introduction based on classical mechanics List of colour plates Preface Acknowledgements How to read the book The phenomenon : complex motion, unusual geometry Chaotic motion Fractal objects Introductory concepts Regular motion Driven motion Investigation of chaotic motion Chaos in dissipative systems Transient chaos in dissipative systems Chaos in conservative systems Chaotic scattering Applications of chaos Epilogue : outlook Appendix Deriving stroboscopic maps Writing equations in dimensionless forms Numerical solution of ordinary differential equations Sample programs Numerical determination of chaos parameters Solutions to the problems Bibliography Index Chaotic behavior in systems Dynamics Chaotisches System (DE-588)4316104-2 gnd Dynamik (DE-588)4013384-9 gnd |
| subject_GND | (DE-588)4316104-2 (DE-588)4013384-9 |
| title | Chaotic dynamics an introduction based on classical mechanics |
| title_alt | Kaotikus dinamika List of colour plates Preface Acknowledgements How to read the book The phenomenon : complex motion, unusual geometry Chaotic motion Fractal objects Introductory concepts Regular motion Driven motion Investigation of chaotic motion Chaos in dissipative systems Transient chaos in dissipative systems Chaos in conservative systems Chaotic scattering Applications of chaos Epilogue : outlook Appendix Deriving stroboscopic maps Writing equations in dimensionless forms Numerical solution of ordinary differential equations Sample programs Numerical determination of chaos parameters Solutions to the problems Bibliography Index |
| title_auth | Chaotic dynamics an introduction based on classical mechanics |
| title_exact_search | Chaotic dynamics an introduction based on classical mechanics |
| title_full | Chaotic dynamics an introduction based on classical mechanics Tamás Tél, Márton Gruiz ; translated Katalin Kulacsy |
| title_fullStr | Chaotic dynamics an introduction based on classical mechanics Tamás Tél, Márton Gruiz ; translated Katalin Kulacsy |
| title_full_unstemmed | Chaotic dynamics an introduction based on classical mechanics Tamás Tél, Márton Gruiz ; translated Katalin Kulacsy |
| title_short | Chaotic dynamics |
| title_sort | chaotic dynamics an introduction based on classical mechanics |
| title_sub | an introduction based on classical mechanics |
| topic | Chaotic behavior in systems Dynamics Chaotisches System (DE-588)4316104-2 gnd Dynamik (DE-588)4013384-9 gnd |
| topic_facet | Chaotic behavior in systems Dynamics Chaotisches System Dynamik |
| url | https://doi.org/10.1017/CBO9780511803277 |
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