CHAOTIC DYNAMICS OF A LINEAR CHAIN OF PERIODICALLY STIMULATED NEURONS WITH RANDOM SYNAPTIC CONNECTIONS |

R.A. Kosiński^{a,b}, A. Krawiecki^{a} and A. Sukiennicki^{a,c}^{a}Faculty of Physics, Warsaw University of Technology, Koszykowa 76, 00-662 Warsaw, Poland^{b}Central Institute for Labor Protection, Czerniakowska 16, 00-701 Warsaw, Poland^{c}Deptartment of Solid State Physics, University of £ód¼, Pomorska 149/153, 90-283 £ód¼, Poland |

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Received: March 19, 2001 |

Dynamics of a neural network in the form of a linear chain of artificial neurons -1<S_{i}<1
influenced by an external sinusoidal stimulation is investigated as a
function of the range k of synaptic connections with random values.
Time evolution of the network is periodic for small k, however,
clusters of neurons oscillating with a triple period of external
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. |

DOI: 10.12693/APhysPolA.100.89 PACS numbers: 87.10.+e, 05.45.--a |