Almost periodic models of impulsive Hopfield neural networks

DOI10.1215/KJM/1248983029zbMath1177.34058OpenAlexW1496390756MaRDI QIDQ839297

Gani Tr. Stamov

Publication date: 1 September 2009

Published in: Journal of Mathematics of Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/kjm/1248983029

Mathematics Subject Classification ID

Neural networks for/in biological studies, artificial life and related topics (92B20) Ordinary differential equations with impulses (34A37) Stability of solutions to ordinary differential equations (34D20) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27)

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Almost periodic dynamics in a new class of impulsive reaction-diffusion neural networks with fractional-like derivatives ⋮ Exponential stability of impulsive delayed reaction-diffusion cellular neural networks via Poincaré integral inequality ⋮ Asymptotic stability of impulsive reaction-diffusion cellular neural networks with time-varying delays ⋮ Impulsive effects on global stability of models based on impulsive differential equations with ``supremum and variable impulsive perturbations ⋮ Existence of almost periodic solutions for a class of abstract impulsive differential equations ⋮ Almost periodic solutions in the PC-space for uncertain impulsive dynamical systems ⋮ On global exponential stability for impulsive cellular neural networks with time-varying delays ⋮ Boundary value problems for impulsive fractional differential equations in Banach spaces

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