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Reductive Perturbation Method

  • Yoshiki Kuramoto
Part of the Springer Series in Synergetics book series (SSSYN, volume 19)

Abstract

Small-amplitude oscillations near the Hopf bifurcation point are generally governed by a simple evolution equation. If such oscillators form a field through diffusion-coupling, the governing equation is a simple partial differential equation called the Ginzburg-Landau equation.

Keywords

Hopf Bifurcation Imaginary Axis Solvability Condition Limit Cycle Oscillator Hopf Bifurcation Point 
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 Berlin Heidelberg 1984

Authors and Affiliations

  • Yoshiki Kuramoto
    • 1
  1. 1.Research Institute for Fundamental PhysicsYukawa Hall, Kyoto UniversityKyoto 606Japan

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