Almost periodic solutions for shunting inhibitory cellular neural networks without global Lipschitz activaty functions

DOI10.1016/j.apm.2008.07.017zbMath1205.34087OpenAlexW2079821627MaRDI QIDQ965634

Chunxia Ou, Jianying Shao, Li Juan Wang

Publication date: 24 April 2010

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2008.07.017

zbMATH Keywords

stabilityalmost periodictime-varying delaysshunting inhibitory cellular neural networks

Mathematics Subject Classification ID

Neural networks for/in biological studies, artificial life and related topics (92B20) Almost and pseudo-almost periodic solutions to functional-differential equations (34K14)

Related Items (10)

Almost periodic solution in a Lotka-Volterra recurrent neural networks with time-varying delays ⋮ Exponential convergence for cellular neural networks with time-varying delays in the leakage terms ⋮ Finite-time and fixed-time synchronization analysis of shunting inhibitory memristive neural networks with time-varying delays ⋮ Positive almost periodicity on SICNNs incorporating mixed delays and D operator ⋮ Measure Pseudo Almost Periodic Solutions of Shunting Inhibitory Cellular Neural Networks with Mixed Delays ⋮ EXISTENCE AND GLOBAL STABILITY OF ALMOST AUTOMORPHIC SOLUTIONS FOR SHUNTING INHIBITORY CELLULAR NEURAL NETWORKS WITH TIME-VARYING DELAYS IN LEAKAGE TERMS ON TIME SCALES ⋮ Existence and global exponential stability of almost periodic solutions for SICNNs with nonlinear behaved functions and mixed delays ⋮ Weighted pseudo-almost periodic solutions for shunting inhibitory cellular neural networks on time scales ⋮ Periodic solutions for stochastic shunting inhibitory cellular neural networks with distributed delays ⋮ Oscillation and stability of multidirectional associative memory neural network with mixed delays

Cites Work

• Almost periodic solutions for shunting inhibitory cellular neural networks without global Lipschitz and bounded activation functions
• Existence of almost periodic solutions for SICNNs with time-varying delays
• 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
• Almost periodic solutions for shunting inhibitory cellular neural networks with time-varying delays
• Global exponential stability of periodic solution for shunting inhibitory CNNs with delays
• Existence and stability of almost periodic solutions for shunting inhibitory cellular neural networks with time-varying delays
• Shunting inhibitory cellular neural networks: derivation and stability analysis

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