The factor of delay in a system of coupled oscillators FitzHugh - Nagumo
Abstract
The dynamics of two weakly coupled close oscillators FitzHugh - Nagumo occuring in the simulation of the electric impulse exchange between nerve cells is considered. The delay in a connecting element between two oscillators is taken into account. Despite of the weakness of interaction, it is shown by local asymptotic methods that the introduction of a delay leads to significant changes in the script of phase reconstructions. The corresponding numerical analysis allows us to demonstrate that the introduction of the appropriate delay let us avoid the situation of the coexistence of a stable synchronous cycle and nonsynchronous oscillations.
About the Authors
S. D. Glyzin
Ярославский государственный университет им. П.Г. Демидова
Russian Federation
Russian Federation
E. A. Soldatova
Ярославский государственный университет им. П.Г. Демидова
Russian Federation
Russian Federation
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Review
For citations:
Glyzin S.D., Soldatova E.A. The factor of delay in a system of coupled oscillators FitzHugh - Nagumo. Modeling and Analysis of Information Systems. 2010;17(3):134-143. (In Russ.)
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