Methods of qualitative theory in nonlinear dynamics, Part II:
Bifurcation and chaos has dominated research in nonlinear dynamics for over two decades, and numerous introductory and advanced books have been published on this subject. There remains, however, a dire need for a textbook which provides a pedagogically appealing yet rigorous mathematical bridge betw...
Gespeichert in:
| Format: | Elektronisch E-Book |
|---|---|
| Sprache: | English |
| Veröffentlicht: |
Singapore
World Scientific Pub. Co.
c2001
|
| Schriftenreihe: | World scientific series on nonlinear science. Series A, Monographs and treatises
v. 5 |
| Schlagworte: | |
| Online-Zugang: | FHN01 Volltext |
| Zusammenfassung: | Bifurcation and chaos has dominated research in nonlinear dynamics for over two decades, and numerous introductory and advanced books have been published on this subject. There remains, however, a dire need for a textbook which provides a pedagogically appealing yet rigorous mathematical bridge between these two disparate levels of exposition. This book has been written to serve that unfulfilled need. Following the footsteps of Poincare, and the renowned Andronov school of nonlinear oscillations, this book focuses on the qualitative study of high-dimensional nonlinear dynamical systems. Many of the qualitative methods and tools presented in the book have been developed only recently and have not yet appeared in textbook form. In keeping with the self-contained nature of the book, all the topics are developed with introductory background and complete mathematical rigor. Generously illustrated and written at a high level of exposition, this invaluable book will appeal to both the beginner and the advanced student of nonlinear dynamics interested in learning a rigorous mathematical foundation of this fascinating subject |
| Beschreibung: | xxiii, 957 p. ill |
| ISBN: | 9789812798558 |
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| id | DE-604.BV044635963 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:57:48Z |
| institution | BVB |
| isbn | 9789812798558 |
| language | English |
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| physical | xxiii, 957 p. ill |
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| series2 | World scientific series on nonlinear science. Series A, Monographs and treatises |
| spelling | Methods of qualitative theory in nonlinear dynamics, Part II Leonid P. Shilnikov ... [et al.] Singapore World Scientific Pub. Co. c2001 xxiii, 957 p. ill txt rdacontent c rdamedia cr rdacarrier World scientific series on nonlinear science. Series A, Monographs and treatises v. 5 Bifurcation and chaos has dominated research in nonlinear dynamics for over two decades, and numerous introductory and advanced books have been published on this subject. There remains, however, a dire need for a textbook which provides a pedagogically appealing yet rigorous mathematical bridge between these two disparate levels of exposition. This book has been written to serve that unfulfilled need. Following the footsteps of Poincare, and the renowned Andronov school of nonlinear oscillations, this book focuses on the qualitative study of high-dimensional nonlinear dynamical systems. Many of the qualitative methods and tools presented in the book have been developed only recently and have not yet appeared in textbook form. In keeping with the self-contained nature of the book, all the topics are developed with introductory background and complete mathematical rigor. Generously illustrated and written at a high level of exposition, this invaluable book will appeal to both the beginner and the advanced student of nonlinear dynamics interested in learning a rigorous mathematical foundation of this fascinating subject Nonlinear theories Nonlinear mechanics Shil'nikov, L. P. Sonstige oth Erscheint auch als Druck-Ausgabe 9789810240721 Erscheint auch als Druck-Ausgabe 9810240724 http://www.worldscientific.com/worldscibooks/10.1142/4221#t=toc Verlag URL des Erstveroeffentlichers Volltext |
| spellingShingle | Methods of qualitative theory in nonlinear dynamics, Part II Nonlinear theories Nonlinear mechanics |
| title | Methods of qualitative theory in nonlinear dynamics, Part II |
| title_auth | Methods of qualitative theory in nonlinear dynamics, Part II |
| title_exact_search | Methods of qualitative theory in nonlinear dynamics, Part II |
| title_full | Methods of qualitative theory in nonlinear dynamics, Part II Leonid P. Shilnikov ... [et al.] |
| title_fullStr | Methods of qualitative theory in nonlinear dynamics, Part II Leonid P. Shilnikov ... [et al.] |
| title_full_unstemmed | Methods of qualitative theory in nonlinear dynamics, Part II Leonid P. Shilnikov ... [et al.] |
| title_short | Methods of qualitative theory in nonlinear dynamics, Part II |
| title_sort | methods of qualitative theory in nonlinear dynamics part ii |
| topic | Nonlinear theories Nonlinear mechanics |
| topic_facet | Nonlinear theories Nonlinear mechanics |
| url | http://www.worldscientific.com/worldscibooks/10.1142/4221#t=toc |
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