| 一类自催化反应扩散系统平衡态的稳定与分歧 |
| |
| 引用本文： | 刘俊荣[,] 李艳玲.一类自催化反应扩散系统平衡态的稳定与分歧[J].西北大学学报,2005,35(4):373-376. |
| |
| 作者姓名： | 刘俊荣[ ] 李艳玲 |
| |
| 作者单位： | [1]西北大学数学系,陕西西安710069 [2]陕西师范大学数学与信息科学学院,陕西西安710062 |
| |
| 基金项目： | 国家自然科学基金资助项目（10071048） |
| |
| 摘 要： | 目的研究一类自催化反应扩散系统平衡态的稳定性与分歧。方法根据线性化理论与弱的非线性理论，运用奇异摄动的方法进行研究。结果获得了该类反应模型平衡态局部稳定的充要条件与系统产生一致分歧解的必要条件。结论深化与丰富了稳定性理论。
|
| 关 键 词： | 反应扩散系统 平衡态 分歧 |
| 文章编号： | 1000-274X(2005)04-0373-04 |
| 收稿时间： | 06 26 2003 12:00AM |
| 修稿时间： | 2003年6月26日 |
Stability of steady state and bifurcation in a autocatalytic reaction diffution system |
| |
| Liu JunRong;Li YanLing.Stability of steady state and bifurcation in a autocatalytic reaction diffution system[J].Journal of Northwest University(Natural Science Edition),2005,35(4):373-376. |
| |
| Authors: | Liu JunRong;Li YanLing |
| |
| Abstract: | Aim The stability of steady state and bifurcation in a autocatalytic reaction diffution system are to be studied. Methods According to the limearized theory and the weakly nonlinear theory, the perturbation method is used. Results A necessary and sufficient condition for the temopral stability of steady state is provided and the necessary conditon for the bifurcation of this steady state to spatially non-uniform solution is also given. Conclusion These resuhs deepen and enrich content of stability theory. |
| |
| Keywords: | reaction diffusion system steaty state bifurtion |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
