On the transition from supercritical to subcritical Hopf bifurcations | Zendy

Chow Shui.Ne E. | Zendy; White Robert G. | Zendy; Hadeler K. P. | Zendy

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On the transition from supercritical to subcritical Hopf bifurcations

Author(s) -

Chow Shui.Ne E.,

White Robert G.,

Hadeler K. P.

Publication year - 1982

Publication title -

mathematical methods in the applied sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.719

H-Index - 65

eISSN - 1099-1476

pISSN - 0170-4214

DOI - 10.1002/mma.1670040111

Subject(s) - mathematics , hopf bifurcation , bifurcation diagram , mathematical analysis , differential equation , nonlinear system , boundary value problem , supercritical fluid , bifurcation , diagram , pitchfork bifurcation , partial differential equation , thermodynamics , physics , statistics , quantum mechanics

By using the method of averaging, we give a complete Hopf bifurcation diagram when the differential equation has more than one parameter. The method is applied to a system of parabolic equations with nonlinear coupling on the boundary. This set of equations is a mathematical model which describes the normalized concentrations of substances in a solution produced by two enzymes.

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