On almost automorphic solutions for cellular neural networks with time-varying delays in leakage terms on time scales1

DOI10.3233/IFS-151766zbMath1366.34120OpenAlexW2172732301MaRDI QIDQ2988448

Yusen Wu, Chang-Jin Xu

Publication date: 19 May 2017

Published in: Journal of Intelligent & Fuzzy Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3233/ifs-151766

zbMATH Keywords

exponential stabilitycellular neural networkstime-varying delayalmost automorphic solutionleakage term

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) 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)

Related Items (8)

Novel traveling waves solutions for nonlinear delayed dynamical neural networks with leakage term ⋮ Global exponential convergence of neutral-type Hopfield neural networks with multi-proportional delays and leakage delays ⋮ Pseudo compact almost automorphic solutions for a family of delayed population model of Nicholson type ⋮ Global exponential convergence of fuzzy cellular neural networks with leakage delays, distributed delays and proportional delays ⋮ Remotely almost periodic solutions of ordinary differential equations ⋮ Effect of Proportional Delays and Continuously Distributed Leakage Delays on Global Exponential Convergence of CNNS ⋮ Dynamics of delayed cellular neural networks in the Stepanov pseudo almost automorphic space ⋮ Joint influence of leakage delays and proportional delays on almost periodic solutions for FCNNs

Cites Work

• Unnamed Item
• Unnamed Item
• 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
• 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
• Existence and global exponential stability of a periodic solution to interval general bidirectional associative memory (BAM) neural networks with multiple delays on time scales
• The use of fractional B-splines wavelets in multiterms fractional ordinary differential equations
• 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
• Existence of almost automorphic mild solutions to non-autonomous neutral stochastic differential equations
• Existence and uniqueness of almost automorphic mild solutions to some semilinear abstract differential equations
• Almost automorphic solutions for some stochastic differential equations
• Convergence behavior of delayed discrete cellular neural network without periodic coefficients
• Almost automorphic solutions of dynamic equations on time scales
• Existence of globally attracting almost automorphic solutions to some nonautonomous higher-order difference equations
• Global stability of almost periodic solution of shunting inhibitory cellular neural networks with variable coefficients
• 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
• Cellular neural networks: theory
• Shunting inhibitory cellular neural networks: derivation and stability analysis
• Almost automorphic solutions of semilinear evolution equations
• On the existence of almost automorphic solutions of Volterra difference equations
• Weighted pseudo almost automorphic functions with applications to abstract dynamic equations on time scales

This page was built for publication: On almost automorphic solutions for cellular neural networks with time-varying delays in leakage terms on time scales1