Geodesic
Autowave emergence conditions for a~Cellular Neural Network
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 3 (2000) no. 4, pp. 377-394

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In this paper, a formal substantiation of a parameter choice for the Cellular Neural Network, which generates autowave processes like traveling round front and traveling round pulse, is presented on the base of the investigation of neuron pair phase plane properties. Required conditions determining the value of pointlike autowave source are given for two types of the CNN – with one and two stable equilibrium points on the phase plane of neuron pair. Simulating results of the autowaves in the CNN with the parameters determined correspondingly to the substantiation are also presented. 
@article{SJVM_2000_3_4_a8,
     author = {A. V. Selikhov},
     title = {Autowave emergence conditions for {a~Cellular} {Neural} {Network}},
     journal = {Sibirskij \v{z}urnal vy\v{c}islitelʹnoj matematiki},
     pages = {377--394},
     publisher = {mathdoc},
     volume = {3},
     number = {4},
     year = {2000},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJVM_2000_3_4_a8/}
}
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A. V. Selikhov. Autowave emergence conditions for a~Cellular Neural Network. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 3 (2000) no. 4, pp. 377-394. http://geodesic.mathdoc.fr/item/SJVM_2000_3_4_a8/