Pattern formation induced by subdiffusion in Oregonator model

doi:10.3969/j.issn.1000-1565.2017.01.004

Abstract

Abstract: 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.

Key words: pattern formation, Fourier transform, anomalous diffusion

CLC Number:

O415

YAN Jia,FENG Fan,ZHANG Yongliang,HE Yafeng. Pattern formation induced by subdiffusion in Oregonator model[J]. Journal of Hebei University (Natural Science Edition), 2017, 37(1): 19-23.

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