OCCURRENCE OF CHAOS IN HIGHER-DIMENSIONAL DISCRETE-TIME-SYSTEMS

被引：42

作者：

DOHTANI, A

机构：

[1] Osaka City Univ, Osaka

来源：

SIAM JOURNAL ON APPLIED MATHEMATICS | 1992年 / 52卷 / 06期

关键词：

PERIOD-3; ORBITS; CHAOS IN THE SENSE OF DIAMOND; CHAOS IN THE SENSE OF MAROTTO; SNAP-BACK REPELLERS; CHAOTIC ATTRACTORS; DISCRETE-TIME LOTKA-VOLTERRA SYSTEM; EXPONENTIAL TYPE SYSTEM; HIGHER-DIMENSIONAL BENHABIB-DAY MODELS; CHAOTIC CONSUMER BEHAVIOR;

D O I：

10.1137/0152098

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the occurrence of chaos is considered in two types of Lotka-Volterra systems: one is the higher-dimensional version of the logistic type system: x(n + 1) = ax(n){1 - x(n)}, and the other is the higher-dimensional version of the exponential type system: x(n + 1) = x(n) exp [a{1 - x(n)}]. Some simple methods of detecting chaos are presented in these systems. By means of these systems, two classes of examples of the higher-dimensional Benhabib-Day model with chaotic consumer behavior are presented.

引用

页码：1707 / 1721

页数：15

共 16 条

[1] A CHARACTERIZATION OF ERRATIC DYNAMICS IN THE OVERLAPPING GENERATIONS MODEL [J].