单峰映射的周期轨序  

Period orbit series in unimodal maps

作　　者：林志雄[1] 

机构地区：[1]福建工程学院数理系,福建福州350014

出　　处：《福建工程学院学报》2006年第3期369-372,共4页Journal of Fujian University of Technology

摘　　要：连续单峰映射f在f(xmin)≤xt,f(xt)=xmax时有3-周期点(李-约混沌);连续单峰映射f在[xmin,xt]内恰好有2个基点时,则所有基点必有下列序关系之一:xmin<…x4<x2<x0<x1<x3<x5<…<xmax或xmin<…x5<x3<x1<x0<x2<x4<…<xmax;这类连续单峰映射f具有n-周期点,若在S序中,m n,则f在[x,x]内没有周期点。When a continuum unimodal map f satisfies f（ xmin）≤x1 and f（x1） = xmax, f has periodthree （ Li-Yorke chaos）. Whenfhas no other than two base-points in [ xmin, x1 ], all base-points series of f satisfy one of the followings：xmin〈…x4〈x2〈x0〈x1〈x3〈x5〈…〈xmax or xmin〈…x5〈x3〈x1〈x0〈x2〈x4〈…〈xmax;For these continuum unimodal maps, f has period- n. However, if m△n in Sharkovskii-series, f does not have m-periodic point in[ xmin,xmax]

关 键 词：m-周期点 周期轨 Sharkovskii序 单峰映射 

分 类 号：O322[理学—一般力学与力学基础] TP301.5[理学—力学]