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
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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.
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页码:104 / 107
页数:4
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