Oregonator模型中欠扩散斑图动力学

doi:10.3969/j.issn.1000-1565.2017.01.004

河北大学学报(自然科学版) ›› 2017, Vol. 37 ›› Issue (1): 19-23.DOI: 10.3969/j.issn.1000-1565.2017.01.004

Oregonator模型中欠扩散斑图动力学

闫佳,冯帆,张永亮,贺亚峰

收稿日期:2016-04-14 出版日期:2017-01-25 发布日期:2017-01-25
通讯作者: 贺亚峰(1978—),男,河北阳原人,河北大学副教授,主要从事斑图动力学方面研究.E-mail:heyf@hbu.edu.cn
作者简介:闫佳(1991—),男,陕西麟游人,河北大学在读硕士研究生,主要从事斑图动力学方面研究. E-mail:245323970@qq.com
基金资助:
国家自然科学基金资助项目(11205044,11405042);河北省自然科学基金资助项目(A2011201006;A2012201015);河北省教育厅基金资助项目(Y2012009);中西部高校综合实力提升工程;河北大学科学研究基金资助项目

Pattern formation induced by subdiffusion in Oregonator model

YAN Jia,FENG Fan,ZHANG Yongliang,HE Yafeng

College of Physics Science and Technology, Hebei University, Baoding 071002, China

Received:2016-04-14 Online:2017-01-25 Published:2017-01-25

摘要/Abstract

摘要： 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.

关键词: 斑图动力学, 傅里叶变化, 反常扩散

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

中图分类号:

O415

闫佳,冯帆,张永亮,贺亚峰. Oregonator模型中欠扩散斑图动力学[J]. 河北大学学报(自然科学版), 2017, 37(1): 19-23.

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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Oregonator模型中欠扩散斑图动力学

Pattern formation induced by subdiffusion in Oregonator model

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