Dynamics of Turing Pattern under Time-Delayed Feedback

被引：7

作者：

Iri, Ryosuke ^{[1
,2
]}

Tonosaki, Yousuke ^{[1
]}

Shitara, Kyohei ^{[1
,3
]}

Ohta, Takao ^{[1
,4
,5
]}

机构：

[1] Kyoto Univ, Grad Sch Sci, Dept Phys, Kyoto 6068502, Japan

[2] Univ Tokyo, Grad Sch Arts & Sci, Meguro Ku, Tokyo 1538902, Japan

[3] Kyushu Univ, Grad Sch Sci, Dept Phys, Fukuoka 8128581, Japan

[4] Univ Tokyo, Grad Sch Sci, Dept Phys, Bunkyo Ku, Tokyo 1130033, Japan

[5] Ochanomizu Univ, Soft Matter Ctr, Bunkyo Ku, Tokyo 1120012, Japan

来源：

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN | 2014年 / 83卷 / 02期

关键词：

UNSTABLE STEADY-STATES; ILLUMINATION; SYSTEMS; CHAOS;

D O I：

10.7566/JPSJ.83.024001

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We investigate Turing patterns under time-delayed feedback control. The Lengyel-Epstein model is solved numerically in one dimension to find various dynamics under feedback such as the propagation of spatially periodic structures at a constant velocity with and without a source and sink of waves, more complex spatiotemporal patterns and uniform oscillation depending on the strength of the feedback and the magnitude of the delay time. To elucidate some of the behaviors, we carry out theoretical analysis based on the amplitude equation for Turing patterns assuming that the feedback control is sufficiently weak.

引用

页数：5

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