Spiral waves in a hybrid discrete excitable media with electromagnetic flux coupling

2021 ◽  
Vol 31 (11) ◽  
pp. 113132
Author(s):  
Karthikeyan Rajagopal ◽  
Shaobo He ◽  
Prakash Duraisamy ◽  
Anitha Karthikeyan
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.


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

2010 ◽  
Vol 104 (5) ◽  
Author(s):  
V. N. Biktashev ◽  
D. Barkley ◽  
I. V. Biktasheva

2021 ◽  
Author(s):  
Karthikeyan Rajagopal ◽  
Irene Moroz ◽  
Balamurali Ramakrishnan ◽  
Anitha Karthikeyan ◽  
Prakash Duraisamy

Abstract A Morris-Lecar neuron model is considered with Electric and Magnetic field effects where the electric field is a time varying sinusoid and magnetic field is simulated using an exponential flux memristor. We have shown that the exposure to electric and magnetic fields have significant effects on the neurons and have exhibited complex oscillations. The neurons exhibit a frequency-locked state for the periodic electric field and different ratios of frequency locked states with respect to the electric field frequency is also presented. To show the impact of the electric and magnetic fields on network of neurons, we have constructed different types of network and have shown the network wave propagation phenomenon. Interestingly the nodes exposed to both electric and magnetic fields exhibit more stable spiral waves compared to the nodes exhibited only to the magnetic fields. Also, when the number of layers are increased the range of electric field frequency for which the layers exhibit spiral waves also increase. Finally the noise effects on the field affected neuron network are discussed and multilayer networks supress spiral waves for a very low noise variance compared against the single layer network.


2020 ◽  
Vol 101 (3) ◽  
Author(s):  
Jinming Luo ◽  
Teng-Chao Li ◽  
Hong Zhang
Keyword(s):  

1999 ◽  
Vol 09 (04) ◽  
pp. 695-704 ◽  
Author(s):  
V. N. BIKTASHEV ◽  
A. V. HOLDEN ◽  
S. F. MIRONOV ◽  
A. M. PERTSOV ◽  
A. V. ZAITSEV

Ventricular fibrillation is believed to be produced by the breakdown of re-entrant propagation waves of excitation into multiple re-entrant sources. These re-entrant waves may be idealized as spiral waves in two-dimensional, and scroll waves in three-dimensional excitable media. Optically monitored, simultaneously recorded endocardial and epicardial patterns of activation on the ventricular wall do not always show spiral waves. We show that numerical simulations, even with a simple homogeneous excitable medium, can reproduce the key features of the simultaneous endo- and epicardial visualizations of propagating activity, and so these recordings may be interpreted in terms of scroll waves within the ventricular wall.


1999 ◽  
Vol 83 (12) ◽  
pp. 2453-2456 ◽  
Author(s):  
A. Karma ◽  
V. S. Zykov
Keyword(s):  

Sign in / Sign up

Export Citation Format

Share Document