An algorithm to control chaotic behavior in one-dimensional maps

被引：7

作者：

Gora, P

Boyarsky, A

机构：

[1] Dept. of Mathematics and Statistics, Concordia University, Montreal, Que. H4B 1R6

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 1996年 / 31卷 / 06期

基金：

加拿大自然科学与工程研究理事会;

关键词：

control of dynamical system; probability density function absolutely continuous invariant measure; Markov maps; DIRECT TRAJECTORIES; TARGETS; SYSTEMS;

D O I：

10.1016/0898-1221(96)00002-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

An algorithm is proposed whereby any chaotic transformation tau (i.e., one merely possessing a dense orbit) can be modified slightly to tau* in order to attain a desired target probability density function f*. The algorithm can be used in practical examples such as controlling the long term population distribution of a species whose dynamics is described by a point transformation.

引用

页码：13 / 22

页数：10

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