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Periodic oscillatory behavior on a four-node neural network model with distributed delay

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Abstract

This paper investigates the existence of periodic oscillation for a four-node neural network with distributed delay. Two theorems are provided to determine the conditions for periodic oscillations of the model. The criteria for selecting the parameters in this network are derived. Some simulation examples are presented to illustrate the accuracy of the results.

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Acknowledgments

This work was partly supported by grant 11361010 from NNFS (China) to C. Feng and grant RGPIN-915 from NSERC (Canada) to R. Plamondon.

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Authors and Affiliations

  1. College of Mathematics and Statistics, Guangxi Normal University, Guilin, 541004, China

    Chunhua Feng

  2. École Polytechnique de Montréal, 2500 Chemin de Polytechnique, Montreal, QC, H3C 3A7, Canada

    Réjean Plamondon

Authors
  1. Chunhua Feng
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  2. Réjean Plamondon
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Correspondence to Réjean Plamondon.

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Feng, C., Plamondon, R. Periodic oscillatory behavior on a four-node neural network model with distributed delay. Int. J. Mach. Learn. & Cyber. 7, 185–191 (2016). https://doi.org/10.1007/s13042-014-0251-3

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  • DOI: https://doi.org/10.1007/s13042-014-0251-3

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