| 生物学中反应扩散方程的分歧分析 |
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| 引用本文： | 杨忠华,魏军强,熊波.生物学中反应扩散方程的分歧分析[J].上海师范大学学报(自然科学版),2004,33(2):7-12. |
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| 作者姓名： | 杨忠华 魏军强 熊波 |
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| 作者单位： | 上海师范大学,数理信息学院,上海,200234 |
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| 基金项目： | Supported by the Special Funds for Major Specialities of Shanghai Education Committee(No.00JC14057)，Shanghai Development Foundation for Science and Technology(No.03QA14036). |
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| 摘 要： | 应用Liapunov-Schmidt方法研究了一类生物学中的非线性反应扩散方程。在分歧点附近，得到了从平凡解分歧出来的非平凡解的近似解析表达式，并与数值解作了比较，结果表明方法是正确的。
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| 关 键 词： | 反应扩散方程 分歧 Liapunov-Schmidt约化 |
Bifurcation analysis of reaction-diffusion equations in developmental biology |
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| Abstract.Bifurcation analysis of reaction-diffusion equations in developmental biology[J].Journal of Shanghai Normal University(Natural Sciences),2004,33(2):7-12. |
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| Authors: | Abstract |
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| Abstract: | Using the Liapunov-Schmidt reduction, we investigate the bifurcation of a class of nonlinear reaction-diffusion equations in developmental biology. Near the bifurcation point we obtain nontrivial solution branches bifurcated from the trivial solution. Approximate analytical expressions of the nontrivial solutions are given to compare with the numerical solutions of the nonlinear problem. |
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| Keywords: | reaction-diffusion equations bifurcation Liapunov-Schmidit reduction |
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