广义Burgers方程的动态分歧(英文)

Dynamic bifurcation for the generalized Burgers equations

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.