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Dynamical singularities in adaptive delayed-feedback control

被引：0
|
作者：
Saito, Asaki [1 ,2 ]
Konishi, Keiji [3 ]
机构：
[1] Future Univ Hakodate, Hakodate, Hokkaido 0418655, Japan
[2] Japan Sci & Technol Agcy, PRESTO, Kawaguchi, Saitama 3320012, Japan
[3] Osaka Prefecture Univ, Osaka 5998531, Japan
来源：
PHYSICAL REVIEW E | 2011年 / 84卷 / 03期
关键词：
ORBITS;
D O I：
10.1103/PhysRevE.84.031902
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：
We demonstrate the dynamical characteristics of adaptive delayed-feedback control systems, exploiting a discrete-time adaptive control method derived for carrying out detailed analysis. In particular, the systems exhibit singularities such as power-law decay of the distribution of transient times and almost zero finite-time Lyapunov exponents. We can explain these results by characterizing such systems as having (1) a Jacobian matrix with unity eigenvalue in the whole phase space, and (2) parameters approaching a stability boundary proven to be identical with that of (nonadaptive) delayed-feedback control.
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页数：7
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