广义Burgers方程的动态分歧(英文)  

Dynamic bifurcation for the generalized Burgers equations

作　　者：王仲平[1,2] 钟承奎[1] 

机构地区：[1]兰州大学数学与统计学院,兰州730000 [2]兰州交通大学数理与软件工程学院,兰州730070

出　　处：《兰州大学学报（自然科学版）》2009年第4期133-139,共7页Journal of Lanzhou University(Natural Sciences)

基　　金：Supported by the National Natural Science Foundation of China(10771089)

摘　　要：对广义Burgers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.该分析是以新的而又成熟的吸引子分歧理论为基础,同时运用了特征值分析和中心流形约化方法.Bifurcation analysis was presented on the generalized Burgers equation. It is proved that the problem bifurcate an attractor as λ crossed the first critical value λ0=1 under two cases, and the analysis was based on a newly developed and mature attractor bifurcation theory, together with the eigenvalue analysis and the center manifold reduction.

关 键 词：广义BURGERS方程 吸引子分歧 中心流形 

分 类 号：O175.29[理学—数学]