SUPPRESSING SPIRAL WAVES IN EXCITABLE MEDIA VIA UNIDIRECTIONAL COUPLING

2008 ◽  
Vol 22 (24) ◽  
pp. 4153-4161 ◽  
Author(s):  
YU QIAN ◽  
YU XUE ◽  
GUANG-ZHI CHEN

A unidirectional coupling method to successfully suppress spiral waves in excitable media is proposed. It is shown that this control method has high control efficiency and is robust. It adapts to control of spiral waves for catalytic CO oxidation on platinum as well as for the FHN model. The power law n ~ c-k of control time steps n versus the coupling strength c for different models has been obtained.

2009 ◽  
Vol 19 (03) ◽  
pp. 1081-1086 ◽  
Author(s):  
TIAN HUANHUAN ◽  
XUE YU ◽  
LIANG YUJUAN ◽  
KANG SANJUN

In this paper, the stochastic driving and coupling method to effectively suppress the turbulence and spiral waves is proposed. It is confirmed that the drive system ensures the response achieves complete synchronization via the computation of the Pearson's coefficient γ. The minimum time units of achieving complete synchronization N versus the coupling proportion P takes on the power-law N ~ P-k.


2013 ◽  
Vol 27 (23) ◽  
pp. 1350129 ◽  
Author(s):  
RUI ZHAO ◽  
WEI PAN ◽  
YU XUE

In this paper, we propose the stochastic and unidirectional cross-coupled control method between two-layer excitable media to suppress the spiral waves and spatiotemporal chaos. Four types of the drive-response system in such two-layer excitable media are studied. By performing many simulations, results illustrate the spiral waves and spatiotemporal chaos can be controlled to the desired target states like the target waves and traveling waves. Patterns obtained are obviously different from those of the one-to-one coupling model. Based on the method proposed by Henry, we have carefully studied the generalized synchronization between the drive and response system with the stochastic and cross-connecting points via amplitude analysis and computing Poisson coefficient. Moreover, there also exists the frequency locking phenomenon.


1993 ◽  
Vol 98 (12) ◽  
pp. 9977-9985 ◽  
Author(s):  
S. Nettesheim ◽  
A. von Oertzen ◽  
H. H. Rotermund ◽  
G. Ertl

1996 ◽  
Vol 100 (3) ◽  
pp. 1048-1054 ◽  
Author(s):  
Tsuyoshi Sueyoshi ◽  
Takehiko Sasaki ◽  
Yasuhiro Iwasawa

2011 ◽  
Vol 44 (9) ◽  
pp. 728-738 ◽  
Author(s):  
Guoyong Yuan ◽  
Lin Xu ◽  
Aiguo Xu ◽  
Guangrui Wang ◽  
Shiping Yang

Science ◽  
2014 ◽  
Vol 345 (6204) ◽  
pp. 1599-1602 ◽  
Author(s):  
J. Saavedra ◽  
H. A. Doan ◽  
C. J. Pursell ◽  
L. C. Grabow ◽  
B. D. Chandler

1999 ◽  
Vol 1 (22) ◽  
pp. 5241-5249 ◽  
Author(s):  
Jens Poppe ◽  
Stefan Völkening ◽  
Andreas Schaak ◽  
Eckart Schütz ◽  
Jürgen Janek ◽  
...  

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