Improvement of time-delayed feedback control by periodic modulation:: Analytical theory of Floquet mode control scheme -: art. no. 026222

被引：36

作者：

Just, W

Popovich, S

Amann, A

Baba, N

Schöll, E

机构：

[1] Tech Univ Berlin, Inst Theoret Phys, D-10623 Berlin, Germany

[2] TU Chemnitz, D-09107 Chemnitz, Germany

[3] Queen Mary Univ London, Sch Math Sci, London E1 4NS, England

来源：

PHYSICAL REVIEW E | 2003年 / 67卷 / 02期

关键词：

D O I：

10.1103/PhysRevE.67.026222

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 investigate time-delayed feedback control schemes which are based on the unstable modes of the target state, to stabilize unstable periodic orbits. The periodic time dependence of these modes introduces an external time scale in the control process. Phase shifts that develop between these modes and the controlled periodic orbit may lead to a huge increase of the control performance. We illustrate such a feature on a nonlinear reaction diffusion system with global coupling and give a detailed investigation for the Rossler model. In addition we provide the analytical explanation for the observed control features.

引用

页数：10

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