结合拓扑熵为0的区间映射的一些性质和乘积映射研究了次可降映射的动力学性质,给出了N维单体的次降映射拓扑熵为零的十个等价条件。这些结果将熊金城、周作领等的研究成果进行了进一步推广。
Combined some properties of interval mapping with zero topological entropy and the prod- uct mapping, some properties of second descendible mapping are studied. Ten equivalent conditions of second descendible mapping of N-dimensional with zero topological entropy are given. These results further generalize the research of Professor Xiong and Zhou.