Perturbations and dynamics of reaction-diffusion systems with mass conservation
Perturbations and dynamics of reaction-diffusion systems with mass conservation
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具有质量守恒的反应扩散系统的扰动和动力学
DOI：
10.1103/physreve.92.012908
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发表时间：
2015
影响因子：
2.4
通讯作者：
M. Kuwamura and Y. Morita
中科院分区：
文献类型：
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作者：
武内数馬ほか;熊谷隆;M. Kuwamura and Y. Morita
在某些反应扩散系统中，其组分的总质量是守恒的，初始值在均匀平衡附近的解在适当扩散系数的平衡附近表现出图灵模式后收敛到一个简单的局部模式（峰）。在本研究中，我们研究了这类守恒系统的微扰反应扩散系统。我们证明了具有全局稳定均匀平衡的反应扩散模型在瞬态动力学中可以表现出大振幅的类图灵模式。此外，我们提出了一个三分量模型，它表现出空间（几乎）均匀振荡和大振幅图灵模式的交替重复。
In some reaction-diffusion systems where the total mass of their components is conserved, solutions with initial values near a homogeneous equilibrium converge to a simple localized pattern (spike) after exhibiting Turing-like patterns near the equilibrium for appropriate diffusion coefficients. In this study, we investigate the perturbed reaction-diffusion systems of such conserved systems. We show that a reaction-diffusion model with a globally stable homogeneous equilibrium can exhibit large amplitude Turing-like patterns in the transient dynamics. Moreover, we propose a three-component model, which exhibits an alternating repetition of spatially (almost) homogeneous oscillations and large amplitude Turing-like patterns.