| Brusselator模型的定性分析及数值模拟 |
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| 引用本文： | 熊晓华,周天寿.Brusselator模型的定性分析及数值模拟[J].江西师范大学学报(自然科学版),2007,31(2):164-168. |
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| 作者姓名： | 熊晓华 周天寿 |
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| 作者单位： | 中山大学数学与计算科学学院,广东,广州,510275;江西师范大学,计算机信息工程学院,江西,南昌,330027;中山大学数学与计算科学学院,广东,广州,510275 |
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| 基金项目： | 教育部专项资金项目
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江西省自然科学基金 |
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| 摘 要： | 该文研究一类非线性反应扩散方程组Brusselator模型,对扩散项为零时,从动力学角度讨论解的性态、分岔及极限环的存在性.对扩散项不为零时利用不变区域方法讨论了其整体解的存在性,同时利用显式差分格式对满足Neumann边界条件的解进行数值模拟.
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| 关 键 词： | 反应扩散 极限环 显式差分 |
| 文章编号： | 1000-5862-（2007）02-0164-05 |
Brusselator Model: Existence of Global Solution, Dynamical Analysis and Numerical Simulation |
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| XIONG Xiao-hua,ZHOU Tian-shou.Brusselator Model: Existence of Global Solution, Dynamical Analysis and Numerical Simulation[J].Journal of Jiangxi Normal University (Natural Sciences Edition),2007,31(2):164-168. |
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| Authors: | XIONG Xiao-hua ZHOU Tian-shou |
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| Institution: | 1. Department of Mathematics and Computational Science, Zhou Shan University, Guangzhou 510275, China; 2. Department of Computer Information Engineering, Jiangxi Normal University, Nanchang 330027, China |
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| Abstract: | In this paper we investigate a system of nonliear reaction-diffusion equations known as Brusselator model.Two cases are discussed according to whether the diffusion term vanishes or not.Limit cycle and Hope bifurcation are studied in the first case,while existence of golbal solutions are proved via invariant region in the second case.Numerical simulation are illustrated by using explicit difference method for the system satisfies Neumann boundary conditons. |
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| Keywords: | reaction-diffusion limit cycle explici difference method |
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