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| Chaffee-Infante方程的动态分歧(英文) | |
| 引用本文： | 王仲平,钟承奎. Chaffee-Infante方程的动态分歧(英文)[J]. 兰州大学学报(自然科学版), 2010, 46(6) |
| 作者姓名： | 王仲平 钟承奎 |
| 摘 要： | 对Chaffee-Infante方程给出了分歧分析.在两种情形下证明了当参数λ穿过第一临界值λ_0=1时,该问题分歧出一个吸引子.该分析是以最近创立的新的吸引子分歧理论为基础,同时运用了中心流形约化方法. |
| 关 键 词： | Chaffee-Infante方程 吸引子分歧 中心流形 |
Dynamic bifurcation for the Chaffee-Infante equation |
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| WANG Zhong-ping,ZHONG Cheng-kui. Dynamic bifurcation for the Chaffee-Infante equation[J]. Journal of Lanzhou University(Natural Science), 2010, 46(6) | |
| Authors: | WANG Zhong-ping ZHONG Cheng-kui |
| Abstract: | A bifurcation analysis on the Chaffee-Infante equation was presented and it was proved that the problem bifurcated an attractor as λ crossed the first critical value λ0=1 for two cases . The analysis was based on a newly developed attractor bifurcation theory ,together with the center manifold reduction. |
| Keywords: | Chaffee-Infante equation attractor bifurcation center manifold |
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