Perturbed on-off intermittency

被引:15
|
作者
Marthaler, D. [1 ]
Armbruster, D. [1 ]
Lai, Y.-C. [1 ]
Kostelich, E.J. [1 ]
机构
[1] Department of Mathematics, Arizona State University, Tempe, AZ 85287, United States
来源
| 2001年 / American Institute of Physics Inc.卷 / 64期
关键词
Chaos theory - Computational geometry - Computational methods - Computer simulation - Fractals - Lyapunov methods - Mathematical models - Nonlinear systems - Probability density function - Probability distributions - Set theory - Time series analysis;
D O I
10.1103/PhysRevE.64.016220
中图分类号
学科分类号
摘要
A study was conducted to determine how on-off intermittency is affected when there is a perturbation so that the invariant subspace no longer exists. Two important scales in the problem were considered. One is the threshold yth of a variable y transverse to the invariant manifold, and the other is the perturbation parameter η that characterizes the extent of the symmetry breaking. It was found that a qualitative change in the characteristics of on-off intermittency occurs immediately as η is increased from zero in both cases.
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