Wave front propagation failure in an inhomogeneous discrete Nagumo chain: Theory and experiments
作者： S. Morfu , V. I. Nekorkin , J. M. Bilbault , P. Marquié
DOI: 10.1103/PHYSREVE.66.046127
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摘要: The phenomenon of wave propagation failure in a discrete inhomogeneous Nagumo equation is investigated. It found that the occurs not only for small coupling coefficients but as well an abrupt change interelement coupling. investigation includes study phase space system, numerical simulations, and real experiments with nonlinear electrical lattice.
sci-hub.se 参考文章(18)
Valentin S Afraimovich, VI Nekorkin, GV Osipov, Vladimir D Shalfeev, Stability, Structures and Chaos in Nonlinear Synchronization Networks World Scientific Series on Nonlinear Science Series A. ,(1995) , 10.1142/2412
I︠U︡riĭ Aleksandrovich Chizmadzhev, V. F. Pastushenko, Vladislav Semenovich Markin, Theory of excitable media ,(1987)
Ruo-ding Li, Thomas Erneux, Bifurcation to standing and traveling waves in large arrays of coupled lasers. Physical Review A. ,vol. 49, pp. 1301- 1312 ,(1994) , 10.1103/PHYSREVA.49.1301
Jonathan Bell, Some threshold results for models of myelinated nerves Mathematical Biosciences. ,vol. 54, pp. 181- 190 ,(1981) , 10.1016/0025-5564(81)90085-7
Igor Mitkov, Konstantin Kladko, John E. Pearson, Tunable Pinning of Burst Waves in Extended Systems with Discrete Sources Physical Review Letters. ,vol. 81, pp. 5453- 5456 ,(1998) , 10.1103/PHYSREVLETT.81.5453
A.V. Ustinov, Solitons in Josephson junctions Physica D: Nonlinear Phenomena. ,vol. 123, pp. 315- 329 ,(1998) , 10.1016/S0167-2789(98)00131-6
J.P. Keener, Homogenization and propagation in the bistable equation Physica D: Nonlinear Phenomena. ,vol. 136, pp. 1- 17 ,(2000) , 10.1016/S0167-2789(99)00151-7
J. C. Comte, S. Morfu, P. Marquié, Propagation failure in discrete bistable reaction-diffusion systems: theory and experiments. Physical Review E. ,vol. 64, pp. 027102- ,(2001) , 10.1103/PHYSREVE.64.027102
James P. Keener, Propagation and its failure in coupled systems of discrete excitable cells Siam Journal on Applied Mathematics. ,vol. 47, pp. 556- 572 ,(1987) , 10.1137/0147038
Bertram Zinner, Existence of traveling wavefront solutions for the discrete Nagumo equation Journal of Differential Equations. ,vol. 96, pp. 1- 27 ,(1992) , 10.1016/0022-0396(92)90142-A