Invariants and chaotic maps

被引：0
|
作者：
Steeb, WH [1 ]
vanWyk, MA [1 ]
机构：
[1] NATL UNIV SINGAPORE, COMPUTAT SCI PROGRAMME, SINGAPORE, SINGAPORE
来源：
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS | 1996年 / 35卷 / 06期
关键词：
D O I：
10.1007/BF02302415
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
A one-dimensional map f(x) is called an invariant of a two-dimensional map g(x, y) if g(x, f(x)) = f(f(x)) The logistic map is an invariant of a class of two-dimensional maps. We construct a class of two-dimensional maps which admit the logistic maps as their invariant. Moreover, we calculate their Lyapunov exponents. We show that the two-dimensional map can show hyperchaotic behavior.
引用
收藏
页码：1253 / 1257
页数：5
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