The Center and Cyclicity Problems
Language: English
Published by Birkhäuser Boston, 2009
- Softcover
- New
Condition: New
£ 41.96
Quantity: Over 20 available
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Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Each chapter includes examples, exercises, algorithms and historical notesThe computational algebra approach provides additional understanding of the center and cyclicity problemsIncludes foundational material on the center and cyclicity pr.
Seller Inventory # 5975873
- Title
- The Center and Cyclicity Problems
- Author
- Valery Romanovski|Douglas Shafer
- Publisher
- Birkhäuser Boston
- Publication year
- 2009
- Condition
- New
- Binding
- Kartoniert / Broschiert
- Language
- English
- ISBN 10
- 0817647260
- ISBN 13
- 9780817647261
Using a computational algebra approach, this comprehensive text addresses the center and cyclicity problems as behaviors of dynamical systems and families of polynomial systems. The book gives the main properties of ideals in polynomial rings and their affine varieties followed by a discussion on the theory of normal forms and stability of differential equations. It contains numerous examples, pseudocode displays of all the computational algorithms, historical notes, nearly two hundred exercises, and an extensive bibliography, making it a suitable graduate textbook as well as research reference.
"Synopsis" may belong to another edition of this title.
From the Back Cover
In the last three decades, advances in methods for investigating polynomial ideals and their varieties have provided new possibilities for approaching two long-standing problems in the theory of differential equations: the Poincaré center problem and the cyclicity problem (the problem of bifurcation of limit cycles from singular trajectories).
Using a computational algebra approach, this work addresses the center and cyclicity problems as behaviors of dynamical systems and families of polynomial systems. The text first lays the groundwork for computational algebra and gives the main properties of ideals in polynomial rings and their affine varieties; this is followed by a discussion regarding the theory of normal forms and stability of differential equations. The center and cyclicity problems are then explored in detail.
The book contains numerous examples, pseudocode displays of all the computational algorithms, historical notes, nearly two hundred exercises, and an extensive bibliography. Completely self-contained, it is thus suitable mainly as a textbook for a graduate course in the subject but also as a reference for researchers.
"About the title" may belong to another edition of this title.
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