Centre Manifold Theorem and Normal Form Of Vector Fields

  • Yushu Chen
  • Andrew Y. T. Leung


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.


Normal Form Phase Portrait Bifurcation Diagram Centre Manifold Lorenz System 
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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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