Existence and global asymptotic stability of periodic solutions for Hopfield neural networks with discontinuous activations

DOI10.1016/j.nonrwa.2008.02.022zbMath1160.92002OpenAlexW2084985498MaRDI QIDQ1015081

Jiafu Wang, Xiang-Nan Zhou, Li-Hong Huang

Publication date: 7 May 2009

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2008.02.022

zbMATH Keywords

periodic solutionglobal asymptotic stabilityLeray-Schauder alternative theoremdiscontinuous dynamical system

Mathematics Subject Classification ID

Learning and adaptive systems in artificial intelligence (68T05) Periodic solutions to ordinary differential equations (34C25) Neural networks for/in biological studies, artificial life and related topics (92B20) Global stability of solutions to ordinary differential equations (34D23)

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