2n Almost Periodic Attractors for Cohen-Grossberg Neural Networks with Variable and Distribute Delays
نویسنده
چکیده
In this paper, we investigate dynamics of 2 almost periodic attractors for Cohen-Grossberg neural networks (CGNNs) with variable and distribute time delays. By imposing some new assumptions on activation functions and system parameters, we split invariant basin of CGNNs into 2 compact convex subsets. Then the existence of 2 almost periodic solutions lying in compact convex subsets is attained due to employment of the theory of exponential dichotomy and Schauder’s fixed point theorem. Meanwhile, we derive some new criteria for the networks to converge toward these 2 almost periodic solutions and exponential attracting domains are also given correspondingly. Keywords—CGNNs; Almost periodic solution; Invariant basins; Attracting domains.
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