【摘要】 讨论了树上连续自映射的拓扑熵与非稳定流形之间的关系． 证明了：树上连续自映射有异状点的充要条件是其拓扑熵大于零． 因而推广了区间上连续自映射的一个结果．更多还原

【Abstract】 Let f be a continuous map of a tree into itself. In this paper, we discuss the relations between the topological entropy and unstable mainifolds. It is shown that f has a homoclinic point if and only if its topological entropy is positive. Obviously, this result is a generalization of that of a continuous itself map of the interval.更多还原