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Subcritical Hopf bifurcation in dynamical systems described by a scalar nonlinear delay differential equation

par Larger, Laurent;Goedgebuer, J. P.;Erneux, Thomas
Référence Physical Review E (Statistical, Nonlinear, and Soft Matter Physics), 69, page (036210)
Publication Publié, 2004

Article révisé par les pairs

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Résumé :

A subcritical Hopf bifurcation in a dynamical system modeled by a scalar nonlinear delay differential equation is studied theoretically and experimentally. The subcritical Hopf bifurcation leads to a significant domain of bistability where stable steady and time-periodic states coexist.