IMPULSIVE SICNNS WITH CHAOTIC POSTSYNAPTIC CURRENTS

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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

Journal

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B

DOI

https://doi.org/10.3934/dcdsb.2016.21.1119

Collections

Department of Mathematics, Article

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Citation Formats

M. O. Fen and M. Akhmet, “IMPULSIVE SICNNS WITH CHAOTIC POSTSYNAPTIC CURRENTS,” DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, pp. 1119–1148, 2016, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/43584.