一个不连续标准映像中随机网的精细结构特征

Fine Structure Characteristics of the Stochastic Web in a Discontinuous Standard Map

研究了一个一维无限深势阱中受周期性驱动的粒子的不连续二维映像模型的随机网结构,解析说明了不连续边界及其像集合的性质,数值研究了该类随机网的机制以及两类精细结构特征.

In 1999 a stochastic web was found in a model, which is described by 2-D discontinuous map, of a kicked particle in a 1-D infinite potential well. Our recent study show that the set of the discontinuous border images of the system function actually forms the same stochastic web due to the discontinuous border, as shown by our analytical result, constitutionally includes infinite chaotic orbits. The web has two typical fine structures. Firstly, in some parts of the web the discontinuous border cross the manifold of hyperbolic points so that the chaotic diffusion is damped greatly; secondly, in other parts the hyperbolic points and the iterations on their manifolds can not appear, nevertheless, it show infinite self-similarity.