THE EXISTENCE OF PERIODIC-ORBITS OF THE TENT MAP

被引：7

作者：

HEIDEL, J

机构：

[1] Department of Mathematics and Computer Science, University of Nebraska at Omaha, Omaha

来源：

PHYSICS LETTERS A | 1990年 / 143卷 / 4-5期

关键词：

D O I：

10.1016/0375-9601(90)90738-A

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

For the tent map Tμ(x) = μx for 0 ≤ x ≤ 1 2 and = μ(1 - x) for 1 2 ≤ x ≤ 1, the μ values are determined for which periodic orbits of each order exist. Except for period 2n orbits which exist for all μ ≥ 1, the Sarkovskii ordering is vividly illustrated. After the μ values for odd periodic orbits are determined, the remaining even periodic orbits are handled by topological conjugacy. © 1990.

引用

页码：195 / 201

页数：7

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