EXISTENCE AND GLOBAL STABILITY OF ALMOST AUTOMORPHIC SOLUTIONS FOR SHUNTING INHIBITORY CELLULAR NEURAL NETWORKS WITH TIME-VARYING DELAYS IN LEAKAGE TERMS ON TIME SCALES
DOI10.11948/2018.1033zbMath1462.34110OpenAlexW2887184190MaRDI QIDQ5148010
Chang-Jin Xu, Pei-Luan Li, Xian Hua Tang
Publication date: 29 January 2021
Published in: Journal of Applied Analysis & Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.11948/2018.1033
exponential stabilitytime-varying delayshunting inhibitory cellular neural networksalmost automorphic solutionleakage term
Neural networks for/in biological studies, artificial life and related topics (92B20) Almost and pseudo-almost periodic solutions to functional-differential equations (34K14) Stability theory of functional-differential equations (34K20) Applications of operator theory to differential and integral equations (47N20) Almost periodic functions on groups and semigroups and their generalizations (recurrent functions, distal functions, etc.); almost automorphic functions (43A60) Dynamic equations on time scales or measure chains (34N05) Functional-differential equations on time scales or measure chains (34K42)
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Cites Work
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- Existence and stability of almost-periodic solutions for cellular neural networks with time-varying delays in leakage terms on time scales
- Almost automorphic solution for neutral type high-order Hopfield neural networks with delays in leakage terms on time scales
- Stability and bifurcation analysis on a ring of five neurons with discrete delays
- Almost periodic solutions for neutral-type BAM neural networks with delays on time scales
- Global exponential stability of almost periodic solutions for SICNNs with continuously distributed leakage delays
- Almost periodic solutions of shunting inhibitory cellular neural networks on time scales
- Exponential stability of delayed and impulsive cellular neural networks with partially Lipschitz continuous activation functions
- Anti-periodic solutions to impulsive shunting inhibitory cellular neural networks with distributed delays on time scales
- Almost periodic solutions for shunting inhibitory cellular neural networks without global Lipschitz and bounded activation functions
- Uniformly almost periodic functions and almost periodic solutions to dynamic equations on time scales
- Anti-periodic solutions for shunting inhibitory cellular neural networks with time-varying delays
- Positive almost periodic solutions for shunting inhibitory cellular neural networks with time-varying and continuously distributed delays
- Analysis on measure chains - a unified approach to continuous and discrete calculus
- Stability and periodicity in delayed cellular neural networks with impulsive effects
- Almost automorphic solutions for some partial functional differential equations
- Multistability and multiperiodicity of delayed Cohen-Grossberg neural networks with a general class of activation functions
- Almost periodic solutions for shunting inhibitory cellular neural networks without global Lipschitz activaty functions
- Existence and roughness of exponential dichotomies of linear dynamic equations on time scales
- Stability of shunting inhibitory cellular neural networks with unbounded time-varying delays
- Existence and exponential stability of anti-periodic solutions for HCNNs with time-varying leakage delays
- Existence and uniqueness of almost automorphic mild solutions to some semilinear abstract differential equations
- Existence and global stability of a periodic solution for a cellular neural network
- Convergence behavior of delayed discrete cellular neural network without periodic coefficients
- Ground state solutions of Nehari-Pohozaev type for Schrödinger-Poisson problems with general potentials
- Almost automorphic solutions of dynamic equations on time scales
- Global stability of almost periodic solution of shunting inhibitory cellular neural networks with variable coefficients
- Almost periodic attractor of delayed neural networks with variable coefficients
- Periodic solutions for a neutral nonlinear dynamical equation on a time scale
- Sufficient conditions for global stability and existence of almost automorphic solution of a class of RNNs
- Existence and exponential stability of almost periodic solution for shunting inhibitory cellular neural networks with impulses
- Anti-periodic solutions for a class of Cohen–Grossberg neural networks with time-varying delays on time scales
- The existence and global exponential stability of a periodic solution of a class of delay differential equations
- Cellular neural networks: theory
- Cellular neural networks with non-linear and delay-type template elements and non-uniform grids
- Shunting inhibitory cellular neural networks: derivation and stability analysis
- Topics in Almost Automorphy
- Almost automorphic solutions of semilinear evolution equations
- Weighted pseudo almost automorphic functions with applications to abstract dynamic equations on time scales
- Optimal Filtering for <formula formulatype="inline"> <tex Notation="TeX">${\rm It}{\mathhat{o}}$</tex></formula>-Stochastic Continuous-Time Systems With Multiple Delayed Measurements
- An Impulsive Delay Inequality Involving Unbounded Time-Varying Delay and Applications
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