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Exponential periodic attractor of discrete-time BAM neural networks with transmission delays

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In this paper, we investigate discrete-time bidirectional associative memory (BAM) neural networks with periodic coefficients and transmission delays. By using matrix measure, spectral theory, and contraction theory, some sufficient conditions are attained for the existence of a unique exponential periodic attractor. Finally, computer simulations illustrate the dynamic behavior of the unique exponential periodic attractor. Moreover, the unique exponential periodic attractor is also given precisely. The numerical simulation is performed to show our results.

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Authors and Affiliations

  1. School of Sciences, Jimei University, Xiamen, P.R. China

    Zhenkun Huang

  2. Department of Mathematics, Faculty of Science, University Brunei Darussalam, Gadong, Brunei Darussalam

    Zhenkun Huang & S. Mohamad

  3. Institute of Mathematics, Shanghai Normal University, Shanghai, P.R. China

    Yonghui Xia

Authors
  1. Zhenkun Huang
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  2. S. Mohamad
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  3. Yonghui Xia
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Correspondence to Zhenkun Huang.

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Huang, Z., Mohamad, S. & Xia, Y. Exponential periodic attractor of discrete-time BAM neural networks with transmission delays. Comput Math Model 20, 258–277 (2009). https://doi.org/10.1007/s10598-009-9035-0

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