IMPULSIVE SICNNS WITH CHAOTIC POSTSYNAPTIC CURRENTS

Date

2016-06-01

Author

Fen, Mehmet Onur
Akhmet, Marat

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In the present study, we investigate the dynamics of shunting inhibitory cellular neural networks (SICNNs) with impulsive effects. We give a mathematical description of the chaos for the multidimensional dynamics of impulsive SICNNs, and prove its existence rigorously by taking advantage of the external inputs. The Li-Yorke definition of chaos is used in our theoretical discussions. In the considered model, the impacts satisfy the cell and shunting principles. This enriches the applications of SICNNs and makes the analysis of impulsive neural networks deeper. The technique is exceptionally useful for SICNNs with arbitrary number of cells. We make benefit of unidirectionally coupled SICNNs to exemplify our results. Moreover, the appearance of cyclic irregular behavior observed in neuroscience is numerically demonstrated for discontinuous dynamics of impulsive SICNNs.

Subject Keywords

Shunting inhibitory cellular neural networks, Discontinuous Li-Yorke chaos, Chaotic inputs and outputs, Impacts subject to cell and shunting principles, Near-periodic discontinuous chaos, Chaotification of impulsive SICNNs

URI

https://hdl.handle.net/11511/43584

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Department of Mathematics, Article