Chaotic dynamics of a linear chain of periodically stimulated neurons withrandom synaptic connections

Dynamics of a neural network in the form of a linear chain of artificial ne urons S-i is an element of (-1, 1) influenced by an external sinusoidal sti mulation is investigated as a function of the range k of synaptic connectio ns with random values. Time evolution of the network is periodic for small k, however, clusters of neurons oscillating with a triple period of externa l stimulation, with quasiperiodic or with chaotic time evolution may occur. For increasing k the number and width of the chaotic clusters increase and for k > 4 the chaotic motion occurs in the whole network. A route to chaos in the considered system is discussed.