二维标准映象的拓扑熵

TOPOLOGICAL ENTROPY OF STANDARD MAP

本文得到了拓扑熵、测度熵和Lyapunov指数三者之间的一般关系式,研究了二维“标准映象”的拓扑熵随不可积参数k变化的规律,并对k<<1和k>>1时的拓扑熵进行了解析计算,与数值结果吻合较好.

We get the general relations among the topological and the metric entropy and the Lyapunov exponent,and obtain the topological entropy which varies with the stochastic parameter,and analyse the topological entropy when k<<1 and k>>1.These analysable results agree with those computing results.