Wave structures in ring neuron systems
Matematičeskoe modelirovanie, Tome 9 (1997) no. 3, pp. 29-39
S. A. Kashchenko; V. V. Maiorov; I. Yu. Myshkin. Wave structures in ring neuron systems. Matematičeskoe modelirovanie, Tome 9 (1997) no. 3, pp. 29-39. http://geodesic.mathdoc.fr/item/MM_1997_9_3_a2/
@article{MM_1997_9_3_a2,
     author = {S. A. Kashchenko and V. V. Maiorov and I. Yu. Myshkin},
     title = {Wave structures in ring neuron systems},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {29--39},
     year = {1997},
     volume = {9},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_1997_9_3_a2/}
}
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The dynamic of ring neuron systems described by equations with delay is considered in this paper. Asympthotic analysis of the equations allows to obtain such values of synapse weights which provides oscillations of predefined structure. Coexistence of oscillations of different types is shown. Interpretation of results is given assuming the hypothesis of possibility of storing information in brain by means of neuron activity waves.