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Stability Analysis and Bifurcation Control of a Delayed Fractional Order GRNs Model

Feng Liu  Jie Ren  Guang Ling  Longsheng Wei  Shiqi Zheng  Hua Wang  
【摘要】:In this paper, a fractional order genetic regulatory network system(GRNs) with delay is considered. Firstly, the stability is investigated and the conditions of the existence for Hopf bifurcation are attained by analyzing it's characteristic equation. Then combining the analysis we can derive that the fractional order GRNs will generate Hopf bifurcation as the GRNs with specific parameter values. A fractional PD controller can be used to control the bifurcation behaviors of the delayed fractional order GRNs. Finally, some numerical examples are exploited to illustrate the validity of theoretical analysis.

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