Delay-differential equation versus 1D-map: Application to chaos control

被引：28

作者：

Celka, P

机构：

[1] Department of Electrical Engineering, Signal Processing Laboratory, Swiss Federal Institute of Technology

来源：

PHYSICA D-NONLINEAR PHENOMENA | 1997年 / 104卷 / 02期

关键词：

chaos; delay-differential equations; control; Lyapunov exponents; floquet multipliers;

D O I：

10.1016/S0167-2789(96)00299-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Theoretical and experimental results on the control of chaotic motion in an electronic circuit modeled by a delay-differential equation are presented. The model is derived from a nonlinear optical system with time-delay feedback. Our control method is based on Pyragas approach and applied to the infinite-dimensional system. Generalized mean Floquet multipliers and mean Lyapunov exponents related to delay-differential equations are introduced in order to compare a discrete-time approximation with the continuous-time equation. This control method is also used to find the so-called isomers related to harmonic periodic solutions predicted by Ikeda and Matsumoto.

引用

页码：127 / 147

页数：21

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