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.

引用

页数：7

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