【摘要】 令X为一个紧致度量空间,f:x→X为(拓扑)传递的映射.通过对传递系统(X,f)在fn,n∈N的作用下的伪分解,先引入一个新的拓扑不变量“传递系统的PD函数(伪分解函数)”. 然后,讨论关于此不变量的一些重要性质.最后,把关于周期轨道的Sharkovskii定理推广到传递子系统上.更多还原

【Abstract】 Let X be a compact metric space and f : X → X be transitive. The authors first introduce a new topological invariant, the PD-function (pseudo decomposition function) of a transitive system, by the investigation of the pseudo decomposition of a transitive system (X,f) under the action of fn, n ∈ N. Then important properties about the invariant are discussed. Finally, Sharkovskii’s theorem is generalized from periodic orbits to transitive subsystems.更多还原