Reductive Perturbation Method
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.
KeywordsHopf Bifurcation Imaginary Axis Solvability Condition Limit Cycle Oscillator Hopf Bifurcation Point
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