Feedback control of wave segments in excitable medium

doi:10.1088/1674-1056/22/5/050501

中国物理B ›› 2013, Vol. 22 ›› Issue (5): 50501-050501.doi: 10.1088/1674-1056/22/5/050501

Feedback control of wave segments in excitable medium

吴宁杰^a, 高洪俊^a, 应和平^b

a Jiangsu Key Laboratory for NSLSCS, School of Mathematical Sciences, Nanjing Normal University, Nanjing 210046, China;
b Institute of Modern Physics and Department of Physics, Zhejiang University, Hangzhou 310027, China

收稿日期:2012-09-07 修回日期:2012-11-05 出版日期:2013-04-01 发布日期:2013-04-01
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11105074 and 11005026), the Natural Science Foundation of the Higher Education Institutions of Jiangsu Province, China (Grant Nos. 11KJB140004 and 11KJA110001), and the Qing Lan Project of Jiangsu Province, China.

Feedback control of wave segments in excitable medium

Wu Ning-Jie (吴宁杰)^a, Gao Hong-Jun (高洪俊)^a, Ying He-Ping (应和平)^b

a Jiangsu Key Laboratory for NSLSCS, School of Mathematical Sciences, Nanjing Normal University, Nanjing 210046, China;
b Institute of Modern Physics and Department of Physics, Zhejiang University, Hangzhou 310027, China

Received:2012-09-07 Revised:2012-11-05 Online:2013-04-01 Published:2013-04-01
Contact: Wu Ning-Jie E-mail:njwu@njnu.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11105074 and 11005026), the Natural Science Foundation of the Higher Education Institutions of Jiangsu Province, China (Grant Nos. 11KJB140004 and 11KJA110001), and the Qing Lan Project of Jiangsu Province, China.

摘要/Abstract

摘要： Depending on the excitability of the medium, a propagating wave segment would either contract or expend 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.

关键词: feedback control, wave segments, excitable medium

Abstract: Depending on the excitability of the medium, a propagating wave segment would either contract or expend 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.

Key words: feedback control, wave segments, excitable medium

中图分类号: (Nonlinear dynamics and chaos)

05.45.-a

05.65.+b (Self-organized systems) 47.54.-r (Pattern selection; pattern formation) 82.40.Bj (Oscillations, chaos, and bifurcations)

吴宁杰, 高洪俊, 应和平. Feedback control of wave segments in excitable medium[J]. 中国物理B, 2013, 22(5): 50501-050501.

Wu Ning-Jie (吴宁杰), Gao Hong-Jun (高洪俊), Ying He-Ping (应和平). Feedback control of wave segments in excitable medium[J]. Chin. Phys. B, 2013, 22(5): 50501-050501.

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Feedback control of wave segments in excitable medium

Feedback control of wave segments in excitable medium

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