利用时间分数阶微分Oregonator模型在Turing-Hopf切空间附近研究了欠扩散对斑图动力学的影响.通过傅里叶和拉普拉斯变换对系统做了稳定性分析,并进行了一维数值模拟.结果表明,活化子欠扩散时有利于抑制Turing模,增强Hopf模,而禁阻子欠扩散时则反之.研究结果对深入研究分形媒介中的斑图动力学提供了依据.
Effect of subdiffusion on the dynamics of pattern formation is studied near codimension-two Turing-Hopf bifurcations in a fractional-in-time Oregonator model.Stability analysis is performed by using Fourier and Laplace transforms,and numerical simulations are conducted in one dimension.Our results have shown that the subdiffusion of activator can depress Turing mode and promote Hopf mode.In the case of subdiffusion of inhibitor,the results are reversed.The results obtained here are helpful to the intensive study of pattern formation in fractal media.
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