Meiss J. D.
Program in Applied Mathematics, University of Colorado, Boulder, Colorado 80304.
Chaos. 1997 Mar;7(1):139-147. doi: 10.1063/1.166245.
For a volume-preserving map, we show that the exit time averaged over the entry set of a region is given by the ratio of the measure of the accessible subset of the region to that of the entry set. This result is primarily of interest to show two things: First, it gives a simple bound on the algebraic decay exponent of the survival probability. Second, it gives a tool for computing the measure of the accessible set. We use this to compute the measure of the bounded orbits for the Henon quadratic map. (c) 1997 American Institute of Physics.
对于一个保体积映射，我们证明了在一个区域的入口集上平均的退出时间由该区域可到达子集的测度与入口集测度的比值给出。这个结果主要有两点意义：第一，它给出了生存概率代数衰减指数的一个简单界。第二，它给出了一个计算可到达集测度的工具。我们用此来计算亨农二次映射的有界轨道的测度。（c）1997美国物理研究所。
