带三次多项式的反应扩散方程吸引子维数分析

The Analysis of Dimensions of the Attractors of Reaction -Diffusion Equation with Polynomial of Degree 3

详细分析了以三次多项式作为非线性项的反应扩散方程在荻氏边界条件下整体吸引子Ｈａｕｓｄｏｒｆ维数随各参数的变化情况，给出了存在零维吸引子的条件．

This article analyses minutely under Dirichlet boundary conditions according to parameters how the conditions of Hausdorff dimensions of whole attractors vary which belongs to Reaction-Diffusion equation with polynomial of degree 3 as the item of nonlinear. It also gives the conditions for the existence of the attractors of zero-dimension.