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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Bibliographic Details
Call Number:Libro Electrónico
Main Authors: Han, Maoan (Author), Yu, Pei (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:Inglés
Published: London : Springer London : Imprint: Springer, 2012.
Edition:1st ed. 2012.
Series:Applied Mathematical Sciences, 181
Subjects:
Dynamical systems.
Approximation theory.
Differential equations.
Computer software.
Nonlinear Optics.
Dynamical Systems.
Approximations and Expansions.
Differential Equations.
Mathematical Software.
Online Access:Texto Completo
Table of Contents:
  • 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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