Detecting the onset of bifurcations and their precursors from noisy data

被引：0
|
作者：
Omberg, Larsson [1 ,2 ]
Dolan, Kevin [1 ]
Neiman, Alexander [1 ]
Moss, Frank [1 ]
机构：
[1] Center for Neurodynamics, University of Missouri at St. Louis, St. Louis,MO,63121, United States
[2] Royal Institute of Technology (KTH), Stockholm, Sweden
来源：
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics | 2000年 / 61卷 / 05期
关键词：
Dynamical systems - Bifurcation (mathematics);
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We study the problem of the detection of noise-induced precursors of periodic motion instabilities in stochastic dynamical systems. In particular, we concentrate on the period-doubling bifurcation. We have developed a statistical method to detect the onset of bifurcations and their precursors based on the previously established topological recurrence technique. ©2000 The American Physical Society.
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页码：4848 / 4853
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