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Centre Manifold Theorem and Normal Form Of Vector Fields

  • Yushu Chen
  • Andrew Y. T. Leung

Abstract

In this chapter, section 5.1 studies another main method for the local bifurcation of dynamical systems: the Centre Manifold Theorem. In section 5.2, the centre manifold theorem is used to analyse simple bifurcation. In the section 5.3, the Normal Form theory of vector fields is introduced.

Keywords

Normal Form Phase Portrait Bifurcation Diagram Centre Manifold Lorenz System 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag London Limited 1998

Authors and Affiliations

  • Yushu Chen
    • 1
  • Andrew Y. T. Leung
    • 2
  1. 1.Department of MechanicsTianjin UniversityTianjinChina
  2. 2.Manchester School of Engineering, Simon BuildingUniversity of ManchesterManchesterUK

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