对具有周期边界条件的Chaffee-Infante方程给出了分歧分析,用吸引子分歧理论和中心流形约化方法证明了该方程在具有奇数解的条件下,当参数λ穿过第一临界值λ=αλ1时,该问题分歧出一个吸引子,并且该吸引子由该方程的稳态解构成.
This article provides an analysis of bifurcation to Formula Chaffee-Infante which is equipped with Dirichlet boundary condition and uses an analysis of attractor bifurcation and Centre Manifold Reduction Method to demonstrate that has provided this formula has an odd solution and when parameterλgoes through the first critical valueλ=αλ1,this problem bifurcates an attractor which is destructed by the steady state of formula.