Chaffee-Infante方程的动态分歧(英文)  

Dynamic bifurcation for the Chaffee-Infante equation

作　　者：王仲平[1] 钟承奎[2] 

机构地区：[1]兰州交通大学数理与软件工程学院,兰州730070 [2]南京大学数学系,南京210000

出　　处：《兰州大学学报（自然科学版）》2010年第6期105-111,共7页Journal of Lanzhou University(Natural Sciences)

基　　金：Supported by the National Natural Science Foundation of China(11061017)

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.A bifurcation analysis on the Chaffee-Infante equation was presented and it was proved that the problem bifurcated an attractor asλcrossed the first critical valueλ_0=1 for two cases.The analysis was based on a newly developed attractor bifurcation theory,together with the center manifold reduction.

关 键 词：Chaffee-Infante方程 吸引子分歧 中心流形 

分 类 号：O175.29[理学—数学]