STRANGE NONCHAOTIC ATTRACTOR IN A QUASI-PERIODICALLY FORCED CIRCLE MAP

被引：129

作者：

FEUDEL, U

KURTHS, J

PIKOVSKY, AS

机构：

[1] Max-Planck-Arbeitsgruppe Nichtlineare Dynamik, Universität Potsdam, Potsdam

来源：

PHYSICA D | 1995年 / 88卷 / 3-4期

关键词：

D O I：

10.1016/0167-2789(95)00205-I

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that in the quasiperiodically forced circle map strange non-chaotic attractors can appear for non-linearities far from the border of chaos. The destruction of a two-frequency quasiperiodic torus connected with the appearance of a strange non-chaotic attractor is described in detail. This strange non-chaotic attractor is characterized by logarithmically slow diffusion of the phase. It is shown that in this regime the high-order phase-locking states disappear and the rotation number varies rather smoothly with the parameters.

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页码：176 / 186

页数：11

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