Existence and attractivity of \(k\)-pseudo almost automorphic sequence solution of a model of bidirectional neural networks

DOI10.1007/S10440-011-9661-3zbMath1261.39004OpenAlexW2056724461MaRDI QIDQ1926073

Syed Abbas

Publication date: 27 December 2012

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-011-9661-3

zbMATH Keywords

neural networksglobal attractivitydifference equationspseudo almost automorphic sequence

Mathematics Subject Classification ID

Neural networks for/in biological studies, artificial life and related topics (92B20) Linear functional-differential equations (34K06) Discrete version of topics in analysis (39A12) Stability theory for difference equations (39A30)

Related Items (8)

Stability and synchronization of delayed fractional-order projection neural network with piecewise constant argument of mixed type ⋮ Uniform Euler approximation of solutions of fractional-order delayed cellular neural network on bounded intervals ⋮ Unnamed Item ⋮ Stability and bifurcation analysis of cellular neural networks with discrete and distributed delays ⋮ Stability Analysis of an Integro Differential Equation Model of Ring Neural Network with Delay ⋮ Global exponential stability in Lagrange sense for periodic neural networks with various activation functions and time-varying delays ⋮ Almost Automorphic Sequences and Their Application to a Model of a Cellular Neural Network ⋮ Pseudo antiperiodic solutions to Volterra difference equations

Cites Work

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• New results concerning exponential stability and periodic solutions of delayed cellular neural networks
• Exponential stability of continuous-time and discrete-time cellular neural networks with delays
• The existence and global attractivity of almost periodic sequence solution of discrete-time neural networks
• Collective Computation With Continuous Variables
• Exponential stability and instability of stochastic neural networks¹
• CONTINUOUS MAPPINGS OF ALMOST AUTOMORPHIC AND ALMOST PERIODIC FUNCTIONS

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