| Methods of Qualitative Theory in Nonlinear Dynamics (Part II) Contributor(s): Chua, Leon O. (Author), Shilnikov, Leonid P. (Author), Shilnikov, Andrey L. (Author) |
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ISBN: 9810240724 ISBN-13: 9789810240721 Publisher: World Scientific Publishing Company OUR PRICE: $173.85 Product Type: Hardcover Published: September 2001 Annotation: 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. |
| Additional Information |
| BISAC Categories: - Science | Mechanics - Dynamics - Science | Physics - General - Mathematics |
| Dewey: 514.74 |
| LCCN: 2001278599 |
| Series: World Scientific Series on Nonlinear Science |
| Physical Information: 1.4" H x 6.31" W x 8.73" (2.09 lbs) 592 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: 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 Poincar , 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. |