Qualitative Theory of Planar Differential Systems

The book deals essentially with systems of polynomial autonomous ordinary differential equations in two real variables. The emphasis is mainly qualitative, although attention is also given to more algebraic aspects as a thorough study of the center/focus problem and recent results on integrability....

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Dumortier, Freddy (Autor), Llibre, Jaume (Autor), Artés, Joan C. (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2006.
Edición:1st ed. 2006.
Colección:Universitext,
Temas:
Differential equations.
Dynamical systems.
Differential Equations.
Dynamical Systems.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • Basic Results on the Qualitative Theory of Differential Equations
  • Normal Forms and Elementary Singularities
  • Desingularization of Nonelementary Singularities
  • Centers and Lyapunov Constants
  • Poincaré and Poincaré-Lyapunov Compactification
  • Indices of Planar Singular Points
  • Limit Cycles and Structural Stability
  • Integrability and Algebraic Solutions in Polynomial Vector Fields
  • Polynomial Planar Phase Portraits
  • Examples for Running P4.

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