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Chinese Physics, 2007, Vol. 16(4): 955-961    DOI: 10.1088/1009-1963/16/4/017
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Suppression of spiral waves using intermittent local electric shock

Ma Jun(马军)a)b)† , Ying He-Ping(应和平)b), and Li Yan-Long(李延龙)a)
a Department of Physics, Lanzhou University of Technology, Lanzhou 730050, China; b Zhejiang Institute of Modern Physics in the Zhejiang University, Hangzhou 310027, China
Abstract  In this paper, an intermittent local electric shock scheme is proposed to suppress stable spiral waves in the Barkley model by a weak electric shock (about 0.4 to 0.7) imposed on a random selected n×n grids (n=1-5, compared with the original 256×256 lattice) and monitored synchronically the evolutions of the activator on the grids as the sampled signal of the activator steps out a given threshold (i.e., the electric shock works on the n×n grids if the activator $u\leq0.4$ or $u \geq 0.8$). The numerical simulations show that a breakup of spiral is observed in the media state evolution to finally obtain homogeneous states if the electric shock with appropriate intensity is imposed.
Keywords:  excitable media      spiral waves      intermittent control  
Received:  14 June 2006      Revised:  17 July 2006      Accepted manuscript online: 
PACS:  05.45.-a (Nonlinear dynamics and chaos)  
Fund: Project supported by the NNSF of China (Grant Nos~10572056 and 10405018) and the NSF of Gansu Province of China (Grant No~3ZS042-B25-021).

Cite this article: 

Ma Jun(马军), Ying He-Ping(应和平), and Li Yan-Long(李延龙) Suppression of spiral waves using intermittent local electric shock 2007 Chinese Physics 16 955

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