| 一类反应扩散系统的球对称模式(Ⅰ) |
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| 引用本文： | 张纪岳,哈肯.一类反应扩散系统的球对称模式(Ⅰ)[J].西北大学学报,1993(2). |
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| 作者姓名： | 张纪岳 哈肯 |
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| 作者单位： | 西北大学物理系，斯图加特大学理论物理与协同学研究所 710069，西安太白路1号，德国斯图加特 |
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| 摘 要： | 应用分岔理论对在一类反应扩散系统中所出现的定态空间模式进行了详细的研究,在固定边界条件下导出了其球对称模式的解析表达式,并对其进行了稳定性分析。结果表明,球的半径存在着一个上临界值,当球的半径小于上临界值时,就能从均匀分布状态自发地形成空间模式,且该模式在扩散系数的一定取值范围内是稳定的。
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| 关 键 词： | 反应扩散系统 分岔理论 固定边界条件 球对称模式 |
Spherically Symmetric Patterns for a Class of Reaction-Diffusion Systems |
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| Zhang Jiyue.Spherically Symmetric Patterns for a Class of Reaction-Diffusion Systems[J].Journal of Northwest University(Natural Science Edition),1993(2). |
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| Authors: | Zhang Jiyue |
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| Institution: | Zhang Jiyue~ |
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| Abstract: | The steady state spatial patterns arising in a class of reaction-diffusion systems are studied by applying bifurcation theory, and analytical expressions for spherically symmetric patterns under the fixed boundary condition is derived. The results show that there exists an upper critical radius of the sphere, when the radius is less than the critical volue, a spatial pattern may arise spontaneously from a uniform distribution. However, the spatial patterns exist only in a certain range of values of the diffusion coefficients. |
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| Keywords: | reaction-diffusion system bifurcation theory fixed boundary condition spherically symmetric pattern |
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