Mechanism for taming chaos by weak harmonic perturbations

被引：0

作者：

Inaba, N ^{[1
]}

Tamura, T ^{[1
]}

Miyamichi, J ^{[1
]}

机构：

[1] Utsunomiya Univ, Fac Engn, Dept Informat Sci, Utsunomiya, Tochigi 3218585, Japan

来源：

ISCAS 2000: IEEE INTERNATIONAL SYMPOSIUM ON CIRCUITS AND SYSTEMS - PROCEEDINGS, VOL II: EMERGING TECHNOLOGIES FOR THE 21ST CENTURY | 2000年

关键词：

D O I：

暂无

中图分类号：

TP3 [计算技术、计算机技术];

学科分类号：

0812 ;

摘要：

Taming chaos by weak harmonic perturbations is a hot topic in recent years. This paper is the first report which clarifies the mechanism for taming chaos theoretically. Our model we consider in this paper is a forced Rayleigh oscillator with a diode. To simplify analyses, we consider the degenerate case where the diode in the circuit operates as a switch. In this case, the governing equation of the circuit is represented by a constrained equation and the Poincare map is derived rigorously as a one-dimensional map, By the analysis of the Poincare map, we clarify that taming chaos occurs by a saddle node bifurcation.

引用

页码：104 / 107

页数：4

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