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Cycles of a discrete time bipolar artificial neural network

Author

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  • Cheng, Sui Sun
  • Chen, Jhien-Shien
  • Yueh, Wen-Chyuan

Abstract

A discrete time bipolar neural network depending on two parameters is studied. It is observed that its dynamical behaviors can be classified into six cases. For each case, the long time behaviors can be summarized in terms of fixed points, periodic points, basin of attractions, and related initial distributions. Mathematical reasons are supplied for these observations and applications in cellular automata are illustrated.

Suggested Citation

  • Cheng, Sui Sun & Chen, Jhien-Shien & Yueh, Wen-Chyuan, 2009. "Cycles of a discrete time bipolar artificial neural network," Chaos, Solitons & Fractals, Elsevier, vol. 40(3), pages 1319-1332.
    • Handle: RePEc:eee:chsofr:v:40:y:2009:i:3:p:1319-1332
    DOI: 10.1016/j.chaos.2007.09.011
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    References listed on IDEAS

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    1. Wang, Gen-Qiang & Cheng, Sui Sun, 2008. "Multiple steady state solutions of a circular neural network," Chaos, Solitons & Fractals, Elsevier, vol. 37(4), pages 1228-1232.
    2. Chen, Hsin-Chieh & Hung, Yung-Ching & Chen, Chang-Kuo & Liao, Teh-Lu & Chen, Chun-Kuo, 2006. "Image-processing algorithms realized by discrete-time cellular neural networks and their circuit implementations," Chaos, Solitons & Fractals, Elsevier, vol. 29(5), pages 1100-1108.
    3. Mak, K.L. & Peng, J.G. & Xu, Z.B. & Yiu, K.F.C., 2007. "A new stability criterion for discrete-time neural networks: Nonlinear spectral radius," Chaos, Solitons & Fractals, Elsevier, vol. 31(2), pages 424-436.
    4. Yueh, Wen-Chyuan & Cheng, Sui Sun, 2006. "Synchronization in an artificial neural network," Chaos, Solitons & Fractals, Elsevier, vol. 30(3), pages 734-747.
    5. Li, Chuandong & Chen, Jinyu & Huang, Tingwen, 2007. "A new criterion for global robust stability of interval neural networks with discrete time delays," Chaos, Solitons & Fractals, Elsevier, vol. 31(3), pages 561-570.
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