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

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

2002-03-05

arxiv.org/abs/nlin/0203005v1

SIAM Journal on Applied Dynamical Systems 2, 277-296 (2003)

Nonlinear Sciences

Chaotic Dynamics

Author Information under http://www.informatik.uni-stuttgart.de/ipvr/bv/personen/schanz.html and http://www.physik.fu-berlin

Scientific paper

10.1137/S1111111102412802

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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