Feedback control of wave segments in excitable medium

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

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.

Keywords: feedback control wave segments excitable medium

Received: 07 September 2012
Revised: 05 November 2012
Accepted manuscript online:

PACS:	05.45.-a	(Nonlinear dynamics and chaos)
	05.65.+b	(Self-organized systems)
	47.54.-r	(Pattern selection; pattern formation)
	82.40.Bj	(Oscillations, chaos, and bifurcations)

Fund: 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.

Corresponding Authors: Wu Ning-Jie
E-mail: njwu@njnu.edu.cn

Cite this article:

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 2013 Chin. Phys. B 22 050501

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