The Center and Cyclicity Problems A Computational Algebra Approach /

• Main Authors: Shafer, Douglas (Author), Romanovski, Valery (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Boston : Birkhäuser Boston, 2009.
• Subjects: Mathematics.; Algebra.; Field theory (Physics).; Dynamics.; Ergodic theory.; Differential equations.; Partial differential equations.; Computer mathematics.; Dynamical Systems and Ergodic Theory.; Ordinary Differential Equations.; Partial Differential Equations.; Field Theory and Polynomials.; Computational Mathematics and Numerical Analysis.

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...

Table of Contents:

• Polynomial Ideals and Their Varieties
• Stability and Normal Forms
• The Center Problem
• The Isochronicity and Linearizability Problems
• Invariants of the Rotation Group
• Bifurcations of Limit Cycles and Critical Periods.