A MAP-BASED ALGORITHM FOR CONTROLLING LOW-DIMENSIONAL CHAOS

被引：86

作者：

PETROV, V ^{[1
]}

PENG, B ^{[1
]}

SHOWALTER, K ^{[1
]}

机构：

[1] W VIRGINIA UNIV,DEPT CHEM,MORGANTOWN,WV 26506

来源：

JOURNAL OF CHEMICAL PHYSICS | 1992年 / 96卷 / 10期

关键词：

D O I：

10.1063/1.462402

中图分类号：

O64 [物理化学（理论化学）、化学物理学];

学科分类号：

070304 ; 081704 ;

摘要：

A simple proportional-feedback algorithm for controlling chaos is presented. The scheme is a map-based variation of a method recently proposed by Ott, Grebogi, and Yorke [ Phys. Rev. Lett. 64, 1196 (1990)] in which unstable periodic orbits embedded within a strange attractor are stabilized through deliberate perturbations of a system constraint. The simplified method offers advantages for control of systems in which more complicated algorithms might not be feasible due to short time scales or limited computational resources. Applications to chemical and biological models are presented to demonstrate the utility and limitations of the method. Low-dimensional chaos can usually be stabilized through proportional feedback of one parameter; in some cases, however, a linear combination of several parameters must be utilized.

引用

页码：7506 / 7513

页数：8

共 12 条

[1] THEORY OF OSCILLATIONS OF RESPIRATION RATE IN CONTINUOUS CULTURE OF KLEBSIELLA AEROGENES [J].