Local synchronization of one-to-one coupled neural networks with discontinuous activations |
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Authors: | Xiaoyang Liu Jinde Cao |
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Institution: | (1) Department of Mathematics, Southeast University, Nanjing, 210096, China |
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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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Keywords: | Local synchronization Delayed neural networks Discontinuous activations Filippov solutions Lyapunov exponents |
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