Chaos: From Theory to Applications
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Boston, MA
Springer US
1992
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | Based on chaos theory two very important points are clear: (1) randomlooking aperiodic behavior may be the product of determinism, and (2) nonlinear problems should be treated as nonlinear problems and not as simplified linear problems. The theoretical aspects of chaos have been presented in great detail in several excellent books published in the last five years or so. However, while the problems associated with applications of the theory- such as dimension and Lyapunov exponents estimation, chaos and nonlinear prediction, and noise reduction- have been discussed in workshops and articles, they have not been presented in book form. This book has been prepared to fill this gap between theory and applications and to assist students and scientists wishing to apply ideas from the theory of nonlinear dynamical systems to problems from their areas of interest. The book is intended to be used as a text for an upper-level undergraduate or graduate-level course, as well as a reference source for researchers. My philosophy behind writing this book was to keep it simple and informative without compromising accuracy. I have made an effort to present the concepts by using simple systems and step-by-step derivations. Anyone with an understanding of basic differential equations and matrix theory should follow the text without difficulty. The book was designed to be self-contained. When applicable, examples accompany the theory. The reader will notice, however, that in the later chapters specific examples become less frequent. This is purposely done in the hope that individuals will draw on their own ideas and research projects for examples |
| Beschreibung: | 1 Online-Ressource (XII, 274 p) |
| ISBN: | 9781461533603 9781461364825 |
| DOI: | 10.1007/978-1-4615-3360-3 |
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| 500 | |a Based on chaos theory two very important points are clear: (1) randomlooking aperiodic behavior may be the product of determinism, and (2) nonlinear problems should be treated as nonlinear problems and not as simplified linear problems. The theoretical aspects of chaos have been presented in great detail in several excellent books published in the last five years or so. However, while the problems associated with applications of the theory- such as dimension and Lyapunov exponents estimation, chaos and nonlinear prediction, and noise reduction- have been discussed in workshops and articles, they have not been presented in book form. This book has been prepared to fill this gap between theory and applications and to assist students and scientists wishing to apply ideas from the theory of nonlinear dynamical systems to problems from their areas of interest. The book is intended to be used as a text for an upper-level undergraduate or graduate-level course, as well as a reference source for researchers. My philosophy behind writing this book was to keep it simple and informative without compromising accuracy. I have made an effort to present the concepts by using simple systems and step-by-step derivations. Anyone with an understanding of basic differential equations and matrix theory should follow the text without difficulty. The book was designed to be self-contained. When applicable, examples accompany the theory. The reader will notice, however, that in the later chapters specific examples become less frequent. This is purposely done in the hope that individuals will draw on their own ideas and research projects for examples | ||
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Datensatz im Suchindex
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| author | Tsonis, Anastasios A. |
| author_facet | Tsonis, Anastasios A. |
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| dewey-ones | 530 - Physics |
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| discipline | Physik |
| doi_str_mv | 10.1007/978-1-4615-3360-3 |
| format | Electronic eBook |
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| spelling | Tsonis, Anastasios A. Verfasser aut Chaos From Theory to Applications by Anastasios A. Tsonis Boston, MA Springer US 1992 1 Online-Ressource (XII, 274 p) txt rdacontent c rdamedia cr rdacarrier Based on chaos theory two very important points are clear: (1) randomlooking aperiodic behavior may be the product of determinism, and (2) nonlinear problems should be treated as nonlinear problems and not as simplified linear problems. The theoretical aspects of chaos have been presented in great detail in several excellent books published in the last five years or so. However, while the problems associated with applications of the theory- such as dimension and Lyapunov exponents estimation, chaos and nonlinear prediction, and noise reduction- have been discussed in workshops and articles, they have not been presented in book form. This book has been prepared to fill this gap between theory and applications and to assist students and scientists wishing to apply ideas from the theory of nonlinear dynamical systems to problems from their areas of interest. The book is intended to be used as a text for an upper-level undergraduate or graduate-level course, as well as a reference source for researchers. My philosophy behind writing this book was to keep it simple and informative without compromising accuracy. I have made an effort to present the concepts by using simple systems and step-by-step derivations. Anyone with an understanding of basic differential equations and matrix theory should follow the text without difficulty. The book was designed to be self-contained. When applicable, examples accompany the theory. The reader will notice, however, that in the later chapters specific examples become less frequent. This is purposely done in the hope that individuals will draw on their own ideas and research projects for examples Physics Mathematics Surfaces (Physics) Physics, general Mathematics, general Characterization and Evaluation of Materials Mathematik Chaostheorie (DE-588)4009754-7 gnd rswk-swf Chaos (DE-588)4191419-3 gnd rswk-swf Chaos (DE-588)4191419-3 s 1\p DE-604 Chaostheorie (DE-588)4009754-7 s 2\p DE-604 https://doi.org/10.1007/978-1-4615-3360-3 Verlag Volltext 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 |
| spellingShingle | Tsonis, Anastasios A. Chaos From Theory to Applications Physics Mathematics Surfaces (Physics) Physics, general Mathematics, general Characterization and Evaluation of Materials Mathematik Chaostheorie (DE-588)4009754-7 gnd Chaos (DE-588)4191419-3 gnd |
| subject_GND | (DE-588)4009754-7 (DE-588)4191419-3 |
| title | Chaos From Theory to Applications |
| title_auth | Chaos From Theory to Applications |
| title_exact_search | Chaos From Theory to Applications |
| title_full | Chaos From Theory to Applications by Anastasios A. Tsonis |
| title_fullStr | Chaos From Theory to Applications by Anastasios A. Tsonis |
| title_full_unstemmed | Chaos From Theory to Applications by Anastasios A. Tsonis |
| title_short | Chaos |
| title_sort | chaos from theory to applications |
| title_sub | From Theory to Applications |
| topic | Physics Mathematics Surfaces (Physics) Physics, general Mathematics, general Characterization and Evaluation of Materials Mathematik Chaostheorie (DE-588)4009754-7 gnd Chaos (DE-588)4191419-3 gnd |
| topic_facet | Physics Mathematics Surfaces (Physics) Physics, general Mathematics, general Characterization and Evaluation of Materials Mathematik Chaostheorie Chaos |
| url | https://doi.org/10.1007/978-1-4615-3360-3 |
| work_keys_str_mv | AT tsonisanastasiosa chaosfromtheorytoapplications |