When can noise induce chaos?

被引：213

作者：

Gao, JB ^{[1
]}

Hwang, SK ^{[1
]}

Liu, JM ^{[1
]}

机构：

[1] Univ Calif Los Angeles, Dept Elect Engn, Los Angeles, CA 90095 USA

来源：

PHYSICAL REVIEW LETTERS | 1999年 / 82卷 / 06期

关键词：

D O I：

10.1103/PhysRevLett.82.1132

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Crutchfield et al. observed that noise truncates period-doubling cascade and induces chaos. To date, however, very little low-dimensional chaos has been unambiguously identified experimentally. This discrepancy stimulates us to reexamine the noisy logistic map. We find that noise can indeed induce chaos. However, this is not associated with the main 2(n) cascade. We identify three basic conditions for noise to induce chaos. We also show that when noise induces chaos the complete period-doubling cascade is inhibited, otherwise the cascade is simply masked by noise. [S0031-9007(99)08394-5].

引用

页码：1132 / 1135

页数：4

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