Reductive Perturbation Method

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


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.


Hopf Bifurcation Imaginary Axis Solvability Condition Limit Cycle Oscillator Hopf Bifurcation Point 
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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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