Exponential Period of Neuronal Recurrence Automata with Excitatory Memory
René Ndoundam
Electronic mail address: ndoundam@uycdc.uninet.cm.
Maurice Tchuente
Electronic mail address: tchuente@camnet.cm.
Department of Computer Science,
Faculty of Science, University of Yaounde I,
P.O. Box 812 Yaounde, Cameroon
Abstract
The sequences generated by a neuronal recurrence equation with memory of the form , where h is the size of the memory, are studied. It is shown that in the case where all the parameters are positive reals, there exists a neuronal recurrence equation of memory length h that generates a sequence of period . This result shows that in the case where all the weighting coefficients are positive reals, the neuronal recurrence equation exhibits a complex behavior.