闭轨线上模映射的不动点类与拓扑熵下界估计

Fixed Point Class and Sub-estimation of Topological Entropy of Module Maps on Closed Trajectories

本文在自治系统dx/dt=f(x),f∈C(DRn,Rn)的闭轨线Γ上定义了模映射,并利用闭轨线Γ与单位圆周S1的同胚关系,给出了模映射的Reidemeister数、Nielsen数,以及模映射的拓扑熵下界估计.

In this paper,module maps are defined on closed trajectory Γ of autonomous system dx/dt=f（x）,f∈C（DRn,Rn）,and based on homeomorphism of closed trajectory Γ and unit circle S1,it gives Reidemeister numbers,Nielsen numbers and sub-estimations of topological entropy of module maps.