The Center and Cyclicity Problems A Computational Algebra Approach /

• Main Authors: Shafer, Douglas. (Author), Romanovski, Valery. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic
• Language: English
• Published: Boston : Birkhũser Boston, 2009.
• Subjects: Mathematics.; Algebra.; Field theory (Physics).; Differentiable dynamical systems.; Differential Equations.; Differential equations, partial.; Computer science > Mathematics.; Computational Mathematics and Numerical Analysis.; Field Theory and Polynomials.; Partial Differential Equations.; Ordinary Differential Equations.; Dynamical Systems and Ergodic Theory.
• Online Access: https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-0-8176-4727-8

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 Poincar ̌center problem and the cyclicity problem (the problem of bifurcation...

Table of Contents:

• Preface
• 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
• References
• Index.