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Proceedings Paper

Chaotic behavior analysis for the neuron's oscillatory models
Author(s): S. N. Charankevich; Halina V. Grushevskaja; George G. Krylov
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Paper Abstract

A oscillatory model of a Hodgkin and Huxley's neuron was proposed. It was shown that the unfolding degeneracy of this system in the vicinity of homoclinic trajectory go to a cascade of period-doubling bifurcations with the subsequent transition in deterministic chaos. A method of finding of homoclinic points in a system of ODE, based on the consideration of a system of partial differential equations of lower dimension in WKB-approximation is proposed.

Paper Details

Date Published: 22 March 1996
PDF: 12 pages
Proc. SPIE 2760, Applications and Science of Artificial Neural Networks II, (22 March 1996); doi: 10.1117/12.235954
Show Author Affiliations
S. N. Charankevich, Belarus State Univ. (Belarus)
Halina V. Grushevskaja, Belarus State Univ. (Belarus)
George G. Krylov, Belarus State Univ. (Belarus)


Published in SPIE Proceedings Vol. 2760:
Applications and Science of Artificial Neural Networks II
Steven K. Rogers; Dennis W. Ruck, Editor(s)

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