中文摘要：

通过引进强链遍历性的概念，证明了f拓扑遍历蕴含f强链遍历．对任意正整数k，f^k强链遍历蕴含f强链遍历；若f满足Lipschitz条件，k是任意上正整数，f强链遍历当且仅当f^k强链遍历．集值映射-f：k（X→κ（X）强链遍历蕴含f：X→X强链遍历．证明了紧致系统（X，f）的强链遍历性与其提升系统（X，f）的强链遍历性是等价的．

英文摘要：

The paper proves that f topologically ergodic implies f strongly chain ergodie by introdu- cing the definition of strongly chain ergodicity. It shows fk strongly chain ergodic implies f strongly chain ergodic for every positive integerk; If f satisfies Lipschitz condition, fk strongly chain ergodic if and only if f strongly chain ergodic for every positive integerk. The paper investigates set-valued map f：κ（X）→κ（X） strongly chain ergodic implies f： X→X strongly chain ergodic, and it also proves that strongly chain ergodic property of （X,f） and strongly chain ergodic property for its lift system （~X,~f） is equivalent.