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Center Manifold Reduction

  • Shangjiang Guo
  • Jianhong Wu
Chapter
  • 2.4k Downloads
Part of the Applied Mathematical Sciences book series (AMS, volume 184)

Abstract

A center manifold at a given nonhyperbolic equilibrium is an invariant manifold of a given differential equation that is tangent at the equilibrium point to the (generalized) eigenspace of the neutrally stable eigenvalues. Since the local dynamic behavior transverse to the center manifold is relatively simple, the potentially complicated asymptotic behaviors of the full system are captured by the flows restricted to the center manifolds.

Keywords

Equilibrium Point Invariant Manifold Center Manifold Infinitesimal Generator Center Space 
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 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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