OPF chaos control in a circuit containing a feedback voltage pulse generator

被引：8

作者：

Inaba, N ^{[1
]}

Nitanai, T ^{[1
]}

机构：

[1] Utsunomiya Univ, Dept Informat Sci, Utsunomiya, Tochigi 321, Japan

来源：

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS | 1998年 / 45卷 / 04期

关键词：

controlling chaos; nonlinear circuits;

D O I：

10.1109/81.669071

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

In this paper, we discuss occasional proportional feedback (OPF) chaos control in a circuit containing a feedback voltage pulse generator. First, we show that the Poincare map of this oscillator without the chaos control is derived rigorously as a one-dimensional mapping. This mapping satisfies Li-Yorke's extended period three condition [7]. Hence, the mapping has an n-periodic point for any natural number n, and the appearance of chaos in Li-Yorke's sense is explained, Furthermore, OFF for piecewise-linear systems is applied to this oscillator. Each unstable orbit can be stabilized, and periodic orbits with one to ten periods are successfully stabilized in circuit experiments.

引用

页码：473 / 480

页数：8

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