Anti-periodic solution for impulsive BAM neural networks with time-varying leakage delays on time scales

Almost automorphic solution for neutral type high-order Hopfield BAM neural networks with time-varying leakage delays on time scales

In this paper, cellular neural networks(CNNs) with time-varying leakage delays on time scales are investigated. By applying the existence of the exponential dichotomy of linear dynamic equations on time scales, fixed point theorem and the theory of calculus on time scales, a set of sufficient conditions are obtained for 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 obtained results.

On almost automorphic solutions for cellular neural networks with time-varying delays in leakage terms on time scales1

Guizhou Key Laboratory of Economics System Simulation, Guizhou University of Finance and Economics, Guiyang 550004, PR China School of Mathematics and Physics, University of South China, Hengyang 421001, PR China School of Mathematics and Statistics, Henan University of Science and Technology, Luoyang 471023, PR China School of Mathematics and Statistics, Guizhou University of Finance and Economics, Guiyang 550004, PR China

pdf/almost-automorphic-solutions-to-cellular-neural-networks-rb9xpfhdy1.pdf

Almost Automorphic Solutions to Cellular Neural Networks With Neutral Type Delays and Leakage Delays on Time Scales

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.

Existence and global stability of almost automorphic solutions for shunting inhibitory cellular neural networks with time-varying delays in leakage terms on time scales

Using the existence of the exponential dichotomy of linear dynamic equations on time scales, a fixed point theorem and the theory of calculus on time scales, we obtain some sufficient conditions for the existence and exponential stability of almost periodic solutions for a class of neutral-type BAM neural networks with delays on time scales. Finally, a numerical example illustrates the feasibility of our results and also shows that the continuous-time neural network and its discrete-time analogue have the same dynamical behaviors. The results of this paper are completely new even if the time scale or and complementary to the previously known results.

/pdf/almost-periodic-solutions-for-neutral-type-bam-neural-4s2cu0jygz.pdf

Almost Periodic Solutions for Neutral-Type BAM Neural Networks with Delays on Time Scales

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Almost Periodic Solutions for Neutral-Type BAM Neural Networks with Delays on Time Scales