Fractalization of a torus as a strange nonchaotic attractor

被引：139

作者：

Nishikawa, T ^{[1
]}

Kaneko, K ^{[1
]}

机构：

[1] UNIV TOKYO,DEPT PURE & APPL SCI,MEGURO KU,TOKYO 153,JAPAN

来源：

PHYSICAL REVIEW E | 1996年 / 54卷 / 06期

关键词：

D O I：

10.1103/PhysRevE.54.6114

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

Fractalization of a torus and its transition to chaos in a quasiperiodically forced logistic map is reinvestigated in relation to a strange nonchaotic attractor, with the aid Of a functional equation for the invariant curve. The existence of a fractal torus in an interval in parameter space is confirmed by the length and the number of extrema of the torus attractor, as well as the Fourier mode analysis. Mechanisms of the onset of a fractal torus and the transition to chaos are studied in connection with the intermittency.

引用

页码：6114 / 6124

页数：11

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