Sharkovskii type of cycles

被引：2

作者：

Blokh, AM ^{[1
]}

Coven, EM ^{[1
]}

机构：

[1] WESLEYAN UNIV,DEPT MATH,MIDDLETOWN,CT 06459

来源：

BULLETIN OF THE LONDON MATHEMATICAL SOCIETY | 1996年 / 28卷

关键词：

D O I：

10.1112/blms/28.4.417

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The Sharkovskii type of a map of an interval is the Sharkovskii-greatest integer t such that it has a periodic point of period t. The Sharkovskii type of a cycle (that is, a cyclic permutation) is the Sharkovskii type of the 'connect the dots' map determined by it. For n greater than or equal to 2, let C(n) denote the finite set of integers which are Sharkovskii types of n-cycles. We give an internal characterization of C(n) and an n(4)-time algorithm for determining the Sharkovskii type of an n-cycle.

引用

页码：417 / 424

页数：8

共 10 条

[1]

Alseda L., 1993, Combinatorial Dynamics and Entropy in Dimension One

[2] GENERALIZATIONS OF A THEOREM OF SARKOVSKII ON ORBITS OF CONTINUOUS REAL-VALUED FUNCTIONS [J].