Synergetic System Analysis for the Delay-Induced Hopf Bifurcation in the Wright Equation
Chaotic Dynamics
2009-11-07 v1
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.
Keywords
Cite
@article{arxiv.nlin/0203005,
title = {Synergetic System Analysis for the Delay-Induced Hopf Bifurcation in the Wright Equation},
author = {Michael Schanz and Axel Pelster},
journal= {arXiv preprint arXiv:nlin/0203005},
year = {2009}
}
Comments
Author Information under http://www.informatik.uni-stuttgart.de/ipvr/bv/personen/schanz.html and http://www.physik.fu-berlin.de/~pelster/index.html Latest update of paper also at http://www.physik.fu-berlin.de/~pelster/Papers/wright.ps