Normal Form Theory

  • Shangjiang Guo
  • Jianhong Wu
Part of the Applied Mathematical Sciences book series (AMS, volume 184)


Normal forms theory provides one of the most powerful tools in the study of nonlinear dynamical systems, in particular in stability and bifurcation analysis. In the context of finite-dimensional ordinary differential equations (ODEs), this theory can be traced back as far as Euler. However, Poincaré [247] and Birkhoff [33] were the first to bring forth the theory in a more definite form.


Normal Form Hopf Bifurcation Center Manifold Nonresonance Condition Normal Form Theory 
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Copyright information

© Springer Science+Business Media New York 2013

Authors and Affiliations

  • Shangjiang Guo
    • 1
  • Jianhong Wu
    • 2
  1. 1.College of Mathematics and EconometricsHunan UniversityChangshaChina, People’s Republic
  2. 2.Department of Mathematics and StatisticsYork UniversityTorontoCanada

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