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Self-excitation of neurons leads to multiperiodicity of discrete-time neural networks with distributed delays |
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| Authors: | HUANG ZhenKun WANG XingHua & SANNAY Mohamad School of Sciences Jimei University Xiamen China |
| Affiliation: | HUANG ZhenKun1,WANG XingHua2 & SANNAY Mohamad3 1School of Sciences,Jimei University,Xiamen 361021,China,2Department of Mathematics,Zhejiang University,Hangzhou 310027,3Department of Mathematics,Faculty of Science,Universiti Brunei Darussalam |
| Abstract: | In this paper, we investigate the interesting multiperiodicity of discrete-time neural networks with excitatory self-connections and distributed delays. Due to self-excitation of neurons, we construct 2N close regions in state space for N-dimensional networks and attain the coexistence of 2N periodic sequence solutions in these close regions. Meanwhile we estimate exponential attracting domain for each periodic sequence solution and apply our results to discrete-time analogues of periodic or autonomous neur... |
| Keywords: | self-excitation multiperiodicity discrete-time neural networks distributed delays |
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