Multiperiodicity analysis and numerical simulation of discrete-time transiently chaotic non-autonomous neural networks with time-varying delays

DOI10.1016/j.cnsns.2009.05.060zbMath1221.37187OpenAlexW2004242024MaRDI QIDQ718241

Honghua Bin, Sannay Mohamod, Zhenkun Huang

Publication date: 23 September 2011

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

Full work available at URL: https://doi.org/10.1016/j.cnsns.2009.05.060

zbMATH Keywords

exponential stabilitydiscrete-timetime-varying delaysmultiperiodicityperiodic sequence solutionstransiently chaotic non-autonomous neural networks

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Neural networks for/in biological studies, artificial life and related topics (92B20)

Related Items (6)

Multiperiodicity and attractivity analysis for discrete-time second order delayed recurrent neural networks ⋮ Multiperiodicity and exponential attractivity of neural networks with mixed delays ⋮ Multi-periodicity of switched neural networks with time delays and periodic external inputs under stochastic disturbances ⋮ Global asymptotic stability of an almost periodic nonlinear ecological model ⋮ The existence of almost periodic solutions of a certain nonlinear system ⋮ Multistability and multiperiodicity for a general class of delayed Cohen-Grossberg neural networks with discontinuous activation functions

Cites Work

• Unnamed Item
• Analysis of global exponential stability and periodic solutions of neural networks with time-varying delays
• Convergence and periodicity in a discrete-time network of two neurons with self-connections
• Adaptive lag synchronization in unknown stochastic chaotic neural networks with discrete and distributed time-varying delays
• Adaptive synchronization in an array of chaotic neural networks with mixed delays and jumping stochastically hybrid coupling
• The existence and exponential attractivity of \(\kappa\)-almost periodic sequence solution of discrete time neural networks
• Existence and global exponential stability of periodic solution for discrete-time BAM neural networks
• Multistability and convergence in delayed neural networks
• 2\(^N\) almost periodic attractors for CNNs with variable and distributed delays
• Multistability and multiperiodicity of delayed Cohen-Grossberg neural networks with a general class of activation functions
• Global exponential stability for discrete-time neural networks with variable delays
• Associative dynamics in a chaotic neural network.
• Chaos and asymptotical stability in discrete-time neural networks
• Stable periodic orbits in nonlinear discrete-time neural networks with delayed feedback
• Exponential stability of continuous-time and discrete-time cellular neural networks with delays
• All solutions of a class of difference equations are truncated periodic
• Existence and exponential stability of periodic solutions for cellular neural networks with time-varying delays
• The existence and global attractivity of almost periodic sequence solution of discrete-time neural networks
• Periodic oscillation for discrete-time Hopfield neural networks
• Discrete-time bidirectional associative memory neural networks with variable delays
• Existence and global exponential stability of periodic solution of two-neuron networks with time-varying delays
• Periodic solutions for nonautonomous discrete-time neural networks
• COMPLEX DYNAMICAL BEHAVIORS IN DISCRETE-TIME RECURRENT NEURAL NETWORKS WITH ASYMMETRIC CONNECTION MATRIX
• Cellular neural networks: theory
• Discrete-time cellular neural networks for associative memories with learning and forgetting capabilities
• Asymptotical stability in discrete-time neural networks

This page was built for publication: Multiperiodicity analysis and numerical simulation of discrete-time transiently chaotic non-autonomous neural networks with time-varying delays