Almost periodic solutions for shunting inhibitory cellular neural networks without global Lipschitz and bounded activation functions

DOI10.1016/j.physleta.2006.10.076zbMath1197.34057OpenAlexW1977357450MaRDI QIDQ601436

Wanmin Xiong, Mingshan Cai

Publication date: 28 October 2010

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2006.10.076

zbMATH Keywords

exponential stabilityalmost periodic solutiontime-varying delaysshunting inhibitory cellular neural networks

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Neural networks for/in biological studies, artificial life and related topics (92B20) Periodic solutions to functional-differential equations (34K13)

Related Items (8)

Global Isometric Embedding of Surfaces in $$\mathbb R^3$$ ⋮ Impulsive SICNNs with chaotic postsynaptic currents ⋮ Multi-almost periodicity in semi-discretizations of a general class of neural networks ⋮ EXISTENCE AND GLOBAL STABILITY OF ALMOST AUTOMORPHIC SOLUTIONS FOR SHUNTING INHIBITORY CELLULAR NEURAL NETWORKS WITH TIME-VARYING DELAYS IN LEAKAGE TERMS ON TIME SCALES ⋮ Almost periodic solutions for shunting inhibitory cellular neural networks without global Lipschitz activaty functions ⋮ Shunting inhibitory cellular neural networks with chaotic external inputs ⋮ Stability analysis of delayed neural networks with slope-bounded activation functions ⋮ Periodic solutions for stochastic shunting inhibitory cellular neural networks with distributed delays

Cites Work

• Almost periodic differential equations
• Almost periodic solution of shunting inhibitory cellular neural networks with time-varying delay
• Almost periodic solution of shunting inhibitory CNNs with delays
• Global exponential stability of periodic solution for shunting inhibitory CNNs with delays
• Shunting inhibitory cellular neural networks: derivation and stability analysis

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