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Local synchronization of one-to-one coupled neural networks with discontinuous activations

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Abstract

In this paper, local synchronization is considered for coupled delayed neural networks with discontinuous activation functions. Under the framework of Filippov solution and in the sense of generalized derivative, a novel sufficient condition is obtained to ensure the synchronization based on the Lyapunov exponent and the detailed analysis in Danca (Int J Bifurcat Chaos 12(8):1813–1826, 2002; Chaos Solitons Fractals 22:605–612, 2004). Simulation results are given to illustrate the theoretical results.

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Acknowledgments

This work was jointly supported by the National Natural Science Foundation of China under Grants No. 60874088 and 11072059, the Specialized Research Fund for the Doctoral Program of Higher Education under Grant 20070286003, the JSPS Innovation Program CX09B_043Z and the Scientific Research Foundation of Graduate School of Southeast University YBJJ0909.

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Authors and Affiliations

  1. Department of Mathematics, Southeast University, Nanjing, 210096, China

    Xiaoyang Liu & Jinde Cao

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  1. Xiaoyang Liu
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  2. Jinde Cao
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Correspondence to Jinde Cao.

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Liu, X., Cao, J. Local synchronization of one-to-one coupled neural networks with discontinuous activations. Cogn Neurodyn 5, 13–20 (2011). https://doi.org/10.1007/s11571-010-9132-y

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