Details:
Title  The Center and Cyclicity Problems: A Computational Algebra Approach  Author(s)  V.G. Romanovskii, D.S. Shafer  Type  Book, Chapter in Book, Conference Proceeding  Abstract  In the last three decades, new methods for investigating polynomial ideals and their varieties have emerged, providing new possibilities for approaching the longstanding center and cyclicity problems. 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 followed by a discussion on the theory of normal forms and stability. The center and cyclicity problems are then explored in detail.
Containing exercises as well as historical notes and algorithms, this selfcontained text is suitable for an advanced graduate course in the subject as well as a reference for researchers.},  Keywords  bifurcations, limit cycles, normal forms, stability, computer algebra  Length  305 
URL 
http://www.springer.com/birkhauser/mathematics/book/9780817647261?detailsPage=toc 
Language  English  Publisher  Birkhäuser  Year  2008  Translation 
No  Refereed 
Yes 
