Normal Forms, Melnikov Functions and Bifurcations of Limit Cycles

Dynamical system theory has developed rapidly over the past fifty years. It is a subject upon which the theory of limit cycles has a significant impact for both theoretical advances and practical solutions to problems. Hopf bifurcation from a center or a focus  is integral to the theory of bifurcati...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Han, Maoan (Autor), Yu, Pei (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: London : Springer London : Imprint: Springer, 2012.
Edición:1st ed. 2012.
Colección:Applied Mathematical Sciences, 181
Temas:
Dynamical systems.
Approximation theory.
Differential equations.
Computer software.
Nonlinear Optics.
Dynamical Systems.
Approximations and Expansions.
Differential Equations.
Mathematical Software.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • Hopf Bifurcation and Normal Form Computation
  • Comparison of Methods for Computing Focus Values
  • Application (I)-Hilbert's 16th Problem
  • Application (II)-Practical Problems
  • Fundamental Theory of the Melnikov Function Method
  • Limit Cycle Bifurcations Near a Center
  • Limit Cycles Near a Homoclinic or Heteroclinic Loop
  • Finding More Limit Cycles Using Melnikov Functions
  • Limit Cycle Bifurcations in Equivariant Systems.

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