Methods of Qualitative Theory in Nonlinear Dynamics (Part I) (World Scientific Series on Nonlinear Science, Series A , Part 1).

Shilnikov, Leonid P., Andrey L. Shilnikov and Dmitry V. Turaev:

ISBN 10: 9810233825 / ISBN 13: 9789810233822

Published by Singapore: World Scientific Series on Non, 1998

About this Item

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Seller Inventory # 482774

Bibliographic Details

• Title: Methods of Qualitative Theory in Nonlinear Dynamics (Part I) (World Scientific Series on Nonlinear Science, Series A , Part 1).
• Publisher: Singapore: World Scientific Series on Non
• Publication Date: 1998
• Language: English
• ISBN 10: 9810233825
• ISBN 13: 9789810233822
• Binding: Karton Karton
• Condition: Sehr gut
• Dust Jacket Condition: Dust Jacket Included
• Weight: 696 grams
• Seller catalogs:
  • Mathematik

About this title

Synopsis

"It is well-written and clearly organized with excellent figures ... This rigorous book, with its emphasis on mathematical technique, would form an excellent basis for an engineering course if supplemented with applications."

Applied Mechanics Reviews

"Short remarks concerning various, not only mathematical, aspects of the theory add an extra flavour to the text. I recommend the book for all persons interested in the qualitative theory of differential equations."

Mathematical Reviews

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 is written to serve the above unfulfilled need.

Following the footsteps of Poincaré, 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 this book were developed only recently and have not yet appeared in a textbook form.

In keeping with the self-contained nature of this book, all topics are developed with an introductory background and complete mathematical rigor. Generously illustrated and written with a high level of exposition, this book will appeal to both beginners and advanced students of nonlinear dynamics interested in learning a rigorous mathematical foundation of this fascinating subject.