ANALYSIS OF THE CONTROL OF CHAOS-RATE OF CONVERGENCE

被引:7
作者
ASTON, PJ
BIRD, CM
机构
来源
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 1995年 / 5卷 / 04期
关键词
D O I
10.1142/S0218127495000818
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper we look at the convergence properties of a well-known method for controling chaos recently devised by Ott, Grebogi and Yorke (OGY) [''Controlling chaos,'' Phys. Rev. Lett. 64 (11), 1990, pp. 1196-1199]. From this analysis we arrive at a number of improved methods in that they possess better convergence properties than the OGY method. The control methods are similarly implemented via small bounded perturbations of a single system parameter, or the use of a second parameter and are shown to be superior to the OGY method in the control of the Duffings equation.
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收藏
页码:1157 / 1165
页数:9
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