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Chaotic Neural Network with Legendre Function Self-feedback and Applications

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Business Intelligence and Information Technology (BIIT 2021)

Part of the book series: Lecture Notes on Data Engineering and Communications Technologies ((LNDECT,volume 107))

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Abstract

A new transient chaotic neuron model which introduces Legendre function into the self-feedback term is constructed. The dynamic characteristics of the single neuron are analyzed by the time evolution graph and the inverted bifurcation graph of the largest Lyapunov exponent. The network parameters are set for settling the combinatorial optimization problem. The effectiveness of this model has been verified by the simulation results in nonlinear function optimization, traveling salesman problem (TSP).

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Author information

Authors and Affiliations

  1. School of Computer and Information Engineering, Harbin University of Commerce, Harbin, 150028, China

    Yu Zhang, SiFan Wei, Yu Wang & Yaoqun Xu

  2. Heilongjiang Provincial Key Laboratory of Electronic Commerce and Information Processing, Harbin, 150028, China

    Yaoqun Xu

  3. Heilongjiang Cultural Big Data Theory Application Research Center, Harbin, 150028, China

    Yu Zhang & Yaoqun Xu

  4. Institute of System Engineering, Harbin University of Commerce, Harbin, 150028, China

    Yaoqun Xu

Authors
  1. Yu Zhang
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  2. SiFan Wei
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  3. Yu Wang
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  4. Yaoqun Xu
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Corresponding author

Correspondence to Yaoqun Xu .

Editor information

Editors and Affiliations

  1. Information Technology Department, Cairo University, Giza, Egypt

    Aboul Ella Hassanien

  2. School of Computer and Information Engineering, Harbin University of Commerce, Harbin, Heilongjiang, China

    Yaoqun Xu

  3. School of Computer and Information Engineering, Harbin University of Commerce, Harbin, Heilongjiang, China

    Zhijie Zhao

  4. Department of Computer Science, Lakehead University, Thunder Bay, ON, Canada

    Sabah Mohammed

  5. School of Computer and Information Engineering, Harbin University of Commerce, Harbin, Heilongjiang, China

    Zhipeng Fan

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Zhang, Y., Wei, S., Wang, Y., Xu, Y. (2022). Chaotic Neural Network with Legendre Function Self-feedback and Applications. In: Hassanien, A.E., Xu, Y., Zhao, Z., Mohammed, S., Fan, Z. (eds) Business Intelligence and Information Technology. BIIT 2021. Lecture Notes on Data Engineering and Communications Technologies, vol 107. Springer, Cham. https://doi.org/10.1007/978-3-030-92632-8_42

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