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Spiral and Antispiral Waves in Reaction-Diffusion Systems
Authors:LIU Yu-Fang WU Yan-Ning XU Hou-Ju SUN Jin-Feng
Institution:College of Physics and Information Engineering, Henan Normal University, Xinxiang 453007, China;State Key Laboratory of Molecular Reaction Dynamics, Dalian Institute of Chemistry and Physics, the Chinese Academy of Sciences, Dalian 116023, China College of Physics and Information Engineering, Henan Normal University, Xinxiang 453007, China College of Physics and Information Engineering, Henan Normal University, Xinxiang 453007, China College of Physics and Information Engineering, Henan Normal University, Xinxiang 453007, China
Abstract:Spiral waves are ubiquitous phenomena in nonlinear chemical, physical, and biological systems. But antispiral waves are infrequent to date. The transition between spiral and antispiral waves has been rarely explored. We have analyzed the extended Brusselator model and the extended Oregonator model by linear stability analysis. We have demonstrated that it is possible and plausible to realize the transition between them by control of diffusion coefficient of inactivator from theoretical analysis and numerical simulations.
Keywords:spiral waves  antispiral waves  extended Brusselator model  extended Oregonator model
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