Feedback control of wave segments in an excitable medium

Depending on the excitability of the medium, a propagating wave segment will either contract or expand to fill the medium with spiral waves. This paper aims to introduce a simple mechanism of feedback control to stabilize such an expansion or contraction. To do this, we lay out a feedback control sy...

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Bibliographic Details
Published inChinese physics B Vol. 22; no. 5; pp. 187 - 190
Main Author 吴宁杰 高洪俊 应和平
Format Journal Article
LanguageEnglish
Published 01.05.2013
Subjects
Computer simulation
Contracts
Excitation
Feedback control
Mathematical analysis
Mathematical models
Segments
Series (mathematics)
Wave propagation
万能公式
反馈控制系统
实验分析
收缩
数值模拟
波段
激发介质
螺旋波
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Summary:Depending on the excitability of the medium, a propagating wave segment will either contract or expand to fill the medium with spiral waves. This paper aims to introduce a simple mechanism of feedback control to stabilize such an expansion or contraction. To do this, we lay out a feedback control system in a block diagram and reduce it into a bare, universal formula. Analytical and experimental findings are compared through a series of numerical simulations of the Barkley model.
Bibliography:feedback control, wave segments, excitable medium
Depending on the excitability of the medium, a propagating wave segment will either contract or expand to fill the medium with spiral waves. This paper aims to introduce a simple mechanism of feedback control to stabilize such an expansion or contraction. To do this, we lay out a feedback control system in a block diagram and reduce it into a bare, universal formula. Analytical and experimental findings are compared through a series of numerical simulations of the Barkley model.
Wu Ning-Jie, Gao Hong-Jun, and Ying He-Ping（ a Jiangsu Key Laboratory for Numerical Simulation of Large Scale Complex Systems, School of Mathematical Sciences, Nanjing Normal University, Nanjing 210046, China b Institute of Modern Physics and Department of Physics, Zhejiang University, Hangzhou 310027, China）
11-5639/O4
ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
ISSN:1674-1056
2058-3834
1741-4199
DOI:10.1088/1674-1056/22/5/050501