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On the transition from supercritical to subcritical Hopf bifurcations

 

作者: Shui.‐Ne E. Chow,   Robert G. White,   K. P. Hadeler,  

 

期刊: Mathematical Methods in the Applied Sciences  （WILEY Available online 1982）
卷期: Volume 4, issue 1  

页码: 143-163

 

ISSN:0170-4214

 

年代: 1982

 

DOI:10.1002/mma.1670040111

 

出版商: John Wiley&Sons, Ltd

 

数据来源: WILEY

 

摘要:

AbstractBy 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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