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Synergetic System Analysis for the Delay-Induced Hopf Bifurcation in the Wright Equation

Michael Schanz, Axel Pelster

nlin.CDarXiv:nlin/0203005

Abstract

We apply the synergetic elimination procedure for the stable modes in nonlinear delay systems close to a dynamical instability and derive the normal form for the delay-induced Hopf bifurcation in the Wright equation. The resulting periodic orbit is confirmed by numerical simulations.

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