The Center and Cyclicity Problems A Computational Algebra Approach /

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 bifurcatio...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Romanovski, Valery (Autor), Shafer, Douglas (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Boston, MA : Birkhäuser Boston : Imprint: Birkhäuser, 2009.
Edición:1st ed. 2009.
Temas:
Dynamical systems.
Differential equations.
Algebraic fields.
Polynomials.
Algebra.
Mathematics-Data processing.
Dynamical Systems.
Differential Equations.
Field Theory and Polynomials.
Computational Mathematics and Numerical Analysis.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 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.

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