CHAOTIC DYNAMICS OF A LINEAR CHAIN OF PERIODICALLY STIMULATED NEURONS WITH RANDOM SYNAPTIC CONNECTIONS |
| R.A. Kosińskia,b, A. Krawieckia and A. Sukiennickia,c aFaculty of Physics, Warsaw University of Technology, Koszykowa 76, 00-662 Warsaw, Poland bCentral Institute for Labor Protection, Czerniakowska 16, 00-701 Warsaw, Poland cDeptartment 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<Si<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 |