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Chaotic behavior of two discrete-time coupled neurons with two delays

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  • Liang, Wei
  • Zhang, Yongjun
  • Zhang, Xuanxuan

Abstract

Two discrete-time coupled neurons with two delays are considered. For different values of the coupling weight, different transformations are performed on this system, and it is found that the system can demonstrate chaotic behavior. Furthermore, the lower bounds of the coefficients of making the system chaotic are calculated. Moreover, three examples with their computer simulations and the largest Lyapunov exponents are given.

Suggested Citation

  • Liang, Wei & Zhang, Yongjun & Zhang, Xuanxuan, 2024. "Chaotic behavior of two discrete-time coupled neurons with two delays," Chaos, Solitons & Fractals, Elsevier, vol. 183(C).
    • Handle: RePEc:eee:chsofr:v:183:y:2024:i:c:s0960077924003990
    DOI: 10.1016/j.chaos.2024.114847
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    References listed on IDEAS

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    1. Liang, Wei & Lv, Xiaolin, 2022. "Li-Yorke chaos in a class of controlled delay difference equations," Chaos, Solitons & Fractals, Elsevier, vol. 157(C).
    2. Huang, Zhenkun & Xia, Yonghui, 2009. "Exponential periodic attractor of impulsive BAM networks with finite distributed delays," Chaos, Solitons & Fractals, Elsevier, vol. 39(1), pages 373-384.
    3. Masoller, Cristina & Zanette, nindexDamianDamia’an H., 2001. "Anticipated synchronization in coupled chaotic maps with delays," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 300(3), pages 359-366.
    4. Wang, Chen-Rui & He, Yong & Lin, Wen-Juan, 2021. "Stability analysis of generalized neural networks with fast-varying delay via a relaxed negative-determination quadratic function method," Applied Mathematics and Computation, Elsevier, vol. 391(C).
    5. Tai, Weipeng & Teng, Qingyong & Zhou, Youmei & Zhou, Jianping & Wang, Zhen, 2019. "Chaos synchronization of stochastic reaction-diffusion time-delay neural networks via non-fragile output-feedback control," Applied Mathematics and Computation, Elsevier, vol. 354(C), pages 115-127.
    6. D.H. Zanette, 2000. "Globally coupled systems with prescribed synchronized dynamics," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 16(3), pages 537-541, August.
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    Keywords

    Neuron; Chaos; Couple; Delay;
    All these keywords.

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