Existence and stability of a periodic solution of a general difference equation with applications to neural networks with a delay in the leakage terms

DOI10.1016/j.cnsns.2023.107429zbMath1526.39005arXiv2211.04853OpenAlexW4384562892MaRDI QIDQ6058688

César M. Silva, José J. Oliveira, António J. G. Bento

Publication date: 1 November 2023

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2211.04853

zbMATH Keywords

exponential stabilityneural networksperiodic solutionleakage delaynonlinear delay difference equation

Mathematics Subject Classification ID

Neural networks for/in biological studies, artificial life and related topics (92B20) Periodic solutions of difference equations (39A23) Stability theory for difference equations (39A30)

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
• New global exponential stability criteria for nonlinear delay differential systems with applications to BAM neural networks
• Periodicity and exponential stability of discrete-time neural networks with variable coefficients and delays
• Global exponential stability of BAM neural networks with time-varying delays: the discrete-time case
• Leakage delays in BAM
• On the stability of nonlinear systems with leakage delay
• Global attractive periodic solutions of BAM neural networks with continuously distributed delays in the leakage terms
• A study on state estimation for discrete-time recurrent neural networks with leakage delay and time-varying delay
• Discrete-time stochastic impulsive BAM neural networks with leakage and mixed time delays: an exponential stability problem
• Exponential stability of continuous-time and discrete-time cellular neural networks with delays
• Global exponential stability for BAM neural networks with time-varying delays in the leakage terms
• Exponential stability of discrete-time uncertain neural networks with multiple time-varying leakage delays
• Global dynamic analysis of periodic solution for discrete-time inertial neural networks with delays
• Sufficient and necessary conditions for global attractivity and stability of a class of discrete Hopfield-type neural networks with time delays
• Novel results on global stability analysis for multiple time-delayed BAM neural networks under parameter uncertainties
• Global asymptotic stability of a unique positive periodic solution for a discrete hematopoiesis model with unimodal production functions
• Permanence, oscillation and attractivity of the discrete hematopoiesis model with variable coefficients
• A nonsingular M-matrix-based global exponential stability analysis of higher-order delayed discrete-time Cohen-Grossberg neural networks
• Pseudo almost periodic solutions for quaternion-valued high-order Hopfield neural networks with time-varying delays and leakage delays on time scales
• Global exponential synchronization of discrete-time high-order switched neural networks and its application to multi-channel audio encryption
• Global stability criteria for nonlinear differential systems with infinite delay and applications to BAM neural networks
• Almost periodic solutions for neutral-type neural networks with the delays in the leakage term on time scales
• ALMOST PERIODIC SOLUTION FOR A DISCRETE HEMATOPOIESIS MODEL WITH TIME DELAY
• Absolute stability of global pattern formation and parallel memory storage by competitive neural networks
• Global exponential stability of discrete-time Hopfield neural network models with unbounded delays
• EXISTENCE AND GLOBAL EXPONENTIAL STABILITY OF ALMOST PERIODIC SOLUTIONS FOR BAM NEURAL NETWORKS WITH DISTRIBUTED LEAKAGE DELAYS ON TIME SCALES
• EXISTENCE AND GLOBAL STABILITY OF ALMOST AUTOMORPHIC SOLUTIONS FOR SHUNTING INHIBITORY CELLULAR NEURAL NETWORKS WITH TIME-VARYING DELAYS IN LEAKAGE TERMS ON TIME SCALES
• Nonuniform behavior and stability of Hopfield neural networks with delay
• Neurons with graded response have collective computational properties like those of two-state neurons.

This page was built for publication: Existence and stability of a periodic solution of a general difference equation with applications to neural networks with a delay in the leakage terms