Random Attractor of Reaction-Diffusion Hopfield Neural Networks Driven by Wiener Processes

Xiao Liang, Linshan Wang and Ruili Wang

Mathematical Problems in Engineering, 2018, vol. 2018, 1-11

Abstract:

This paper studies the global existence and uniqueness of the mild solution for reaction-diffusion Hopfield neural networks (RDHNNs) driven by Wiener processes by applying a Schauder fixed point theorem and a priori estimate; then the random attractor for this system is also studied by constructing proper random dynamical system.

Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:2538658

DOI: 10.1155/2018/2538658

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