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Chin. Phys. B, 2013, Vol. 22(5): 050501    DOI: 10.1088/1674-1056/22/5/050501
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Feedback control of wave segments in excitable medium

Wu Ning-Jiea, Gao Hong-Juna, Ying He-Pingb
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
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      Published:  01 April 2013
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, Gao Hong-Jun, Ying He-Ping Feedback control of wave segments in excitable medium 2013 Chin. Phys. B 22 050501

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