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

Laurent Larger | Zendy; Jean-Pierre Goedgebuer | Zendy; Thomas Erneux | Zendy

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

Author(s) -

Laurent Larger,

Jean-Pierre Goedgebuer,

Thomas Erneux

Publication year - 2004

Publication title -

physical review e

Language(s) - English

Resource type - Journals

eISSN - 1550-2376

pISSN - 1539-3755

DOI - 10.1103/physreve.69.036210

Subject(s) - hopf bifurcation , saddle node bifurcation , biological applications of bifurcation theory , transcritical bifurcation , pitchfork bifurcation , mathematics , bifurcation diagram , scalar (mathematics) , bogdanov–takens bifurcation , nonlinear system , mathematical analysis , period doubling bifurcation , bifurcation , bistability , differential equation , dynamical systems theory , physics , geometry , quantum mechanics

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.

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