| ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS |
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Pattern formation in superdiffusion Oregonator model |
| Fan Feng(冯帆), Jia Yan(闫佳), Fu-Cheng Liu(刘富成), Ya-Feng He(贺亚峰) |
| Hebei Key Laboratory of Optic-electronic Information Materials, College of Physics Science and Technology, Hebei University, Baoding 071002, China |
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Abstract 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.
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Received: 02 March 2016
Revised: 10 June 2016
Accepted manuscript online:
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PACS:
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47.54.-r
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(Pattern selection; pattern formation)
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05.45.-a
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(Nonlinear dynamics and chaos)
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05.40.-a
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(Fluctuation phenomena, random processes, noise, and Brownian motion)
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| Fund: Project 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, and the Midwest Universities Comprehensive Strength Promotion Project. |
Corresponding Authors:
Ya-Feng He
E-mail: heyf@hbu.edu.cn
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Cite this article:
Fan Feng(冯帆), Jia Yan(闫佳), Fu-Cheng Liu(刘富成), Ya-Feng He(贺亚峰) Pattern formation in superdiffusion Oregonator model 2016 Chin. Phys. B 25 104702
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