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Positive stability analysis of pseudo almost periodic solutions for HDCNNs accompanying $ D $ operator

  • *Corresponding author: Chuangxia Huang

    *Corresponding author: Chuangxia Huang

This research was supported by the National Natural Science Foundation of China (Nos. 11971076, 11801562) and the Natural Science Foundation of Hunan Province (No. 2019JJ40142)

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  • In this study, the stable dynamics of a kind of high-order cellular neural networks accompanying $ D $ operators and mixed delays are analyzed. The global existence of bounded positive solutions is substantiated by applying some novel differential inequality analyses. Meanwhile, by exploiting Lyapunov function method, some sufficient criteria are gained to validate the positiveness and globally exponential stability of pseudo almost periodic solutions on the addressed networks. In addition, computer simulations are produced to test the derived analytical findings.

    Mathematics Subject Classification: Primary: 34C25, 34K13, 34K25.


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  • Figure 1.  Numerical characteristics for solutions $ x(t) $ of HDCNNs (4.1) incorporating distinct initial values: ($ -0.3\cos 2t $, $ 3+\sin 3t $), ($ 2.3\cos 2t $, $ 2+1.8\sin 3t $), ($ 0.5+\cos 3t $, $ -0.8\sin 2t $)

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