Complex Systems

Study of All the Periods of a Neuronal Recurrence Equation Download PDF

Serge Alain Ebélé
René Ndoundam*

University of Yaounde I, LIRIMA, Team GRIMCAPE
P. O. Box 812, Yaounde, Cameroon
CETIC, Yaounde, Cameroon
IRD, UMI 209, UMMISCO, IRD France Nord, F-93143, Bondy, France
Sorbonne Unversités, Univ. Paris 06, UMI 209, UMMISCO, F-75005
Paris, France
sergeebele@yahoo.fr
*Corresponding author: ndoundam@yahoo.com

Abstract

We characterize the structure of the periods of a neuronal recurrence equation. First, we give a characterization of k-chains in 0-1 periodic sequences. Second, we characterize the periods of all cycles of some neuronal recurrence equation. Third, we explain how these results can be used to deduce the existence of the generalized period-halving bifurcation.