EXISTENCE AND GLOBAL STABILITY OF ALMOST AUTOMORPHIC SOLUTIONS FOR SHUNTING INHIBITORY CELLULAR NEURAL NETWORKS WITH TIME-VARYING DELAYS IN LEAKAGE TERMS ON TIME SCALES

Changjin Xu; Xianhua Tang; Peiluan Li

doi:10.11948/2018.1033

2018 Volume 8 Issue 4

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Changjin Xu, Xianhua Tang, Peiluan Li. EXISTENCE AND GLOBAL STABILITY OF ALMOST AUTOMORPHIC SOLUTIONS FOR SHUNTING INHIBITORY CELLULAR NEURAL NETWORKS WITH TIME-VARYING DELAYS IN LEAKAGE TERMS ON TIME SCALES[J]. Journal of Applied Analysis & Computation, 2018, 8(4): 1033-1049. doi: 10.11948/2018.1033

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Changjin Xu, Xianhua Tang, Peiluan Li. EXISTENCE AND GLOBAL STABILITY OF ALMOST AUTOMORPHIC SOLUTIONS FOR SHUNTING INHIBITORY CELLULAR NEURAL NETWORKS WITH TIME-VARYING DELAYS IN LEAKAGE TERMS ON TIME SCALES[J]. Journal of Applied Analysis & Computation, 2018, 8(4): 1033-1049. doi: 10.11948/2018.1033

EXISTENCE AND GLOBAL STABILITY OF ALMOST AUTOMORPHIC SOLUTIONS FOR SHUNTING INHIBITORY CELLULAR NEURAL NETWORKS WITH TIME-VARYING DELAYS IN LEAKAGE TERMS ON TIME SCALES

1 Guizhou Key Laboratory of Economics System Simulation, Guizhou University of Finance and Economics, Guiyang 550004, China;
2 School of Mathematics and Statistics, Central South University, Changsha 410083, China;
3 School of Mathematics and Statistics, Henan University of Science and Technology, Luoyang 471023, China

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Abstract

Abstract

In this paper, shunting inhibitory cellular neural networks(SICNNs) with time-varying delays in leakage terms on time scales are investigated. With the aid of the existence of the exponential dichotomy of linear dynamic equations on time scales, fixed point theorem and the theory of calculus on time scales, we establish some sufficient conditions to ensure the existence and exponential stability of almost automorphic solutions for the model. An example with its numerical simulations is given to illustrate the feasibility and effectiveness of the theoretical findings.
- Shunting inhibitory cellular neural networks /
- almost automorphic solution /
- exponential stability /
- leakage term /
- time-varying delay
MSC: 34K14;34K25;34C25;45G10

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References

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