一类二维映象分形流域边界的性质

PROPERTIES OF THE FRACTAL BASIN BOUNDARY OF A CLASS TWO-DIMENSIONAL MAPS

本文用微扰法研究了一类二维映象的流域边界 ,构造了流域边界的解析形式 ,从而可以方便地研究流域边界的结构和解析性质 ,并实现了用解析法计算 Lyapunov指数 .

The basin boundary of a class two-dimension maps are investigated in this paper by using perturbation method.The analytical formalism of the basin boundary is given.So that it is easy for one to study the structures and analytical properties of the basin boundary.And Lyapunov exponent can be expressed by analytical formalism.