Pattern formation in superdiffusion Oregonator model  

作　　者：冯帆 闫佳 刘富成 贺亚峰 

机构地区：[1]Hebei Key Laboratory of Optic-electronic Information Materials, College of Physics Science and Technology,Hebei University

出　　处：《Chinese Physics B》2016年第10期197-201,共5页中国物理B（英文版）

基　　金：supported by the National Natural Science Foundation of China(Grant Nos.11205044 and 11405042);the Research Foundation of Education Bureau of Hebei Province,China(Grant Nos.Y2012009 and ZD2015025);the Program for Young Principal Investigators of Hebei Province,China;the Midwest Universities Comprehensive Strength Promotion Project

摘　　要：Pattern formations in an Oregonator model with superdiffusion are studied in two-dimensional(2D) numerical simulations. Stability analyses are performed by applying Fourier and Laplace transforms to the space fractional reaction–diffusion systems. Antispiral, stable turing patterns, and travelling patterns are observed by changing the diffusion index of the activator. Analyses of Floquet multipliers show that the limit cycle solution loses stability at the wave number of the primitive vector of the travelling hexagonal pattern. We also observed a transition between antispiral and spiral by changing the diffusion index of the inhibitor.Pattern formations in an Oregonator model with superdiffusion are studied in two-dimensional(2D) numerical simulations. Stability analyses are performed by applying Fourier and Laplace transforms to the space fractional reaction–diffusion systems. Antispiral, stable turing patterns, and travelling patterns are observed by changing the diffusion index of the activator. Analyses of Floquet multipliers show that the limit cycle solution loses stability at the wave number of the primitive vector of the travelling hexagonal pattern. We also observed a transition between antispiral and spiral by changing the diffusion index of the inhibitor.

关 键 词：pattern formation reaction diffusion system anomalous diffusion 

分 类 号：O643[理学—物理化学]