耗散发展方程吸引子的分形结构(英文)

The Fractal Structure of the Attractors and Dissipative Evolution Equations

证明了一类耗散发展方程的吸引子具有分形结构，并且给出了这一结构，进一步发现吸引子的指数逼近型紧分形局部化序列。

The attractors of a class of dissipative evolution equations which has a compact fractal structure be proved and such a structure is given also.Furthermore,an exponentially approximating sequence of compact fractal localizing sets of the attractor will be found out and the structure of attractor of the class of dissipative evolution equations be sharpened.