Complex Dynamics of Discrete-Time Ring Neural Networks

DOI10.1142/S0218127421501169zbMath1467.92023OpenAlexW3175953627MaRDI QIDQ4997487

Fen Wang, YuanLong Chen, Liangliang Li, Xiaoying Wu

Publication date: 29 June 2021

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127421501169

zbMATH Keywords

neural networkchaotic dynamicstopological conjugacydiscrete-time

Mathematics Subject Classification ID

Neural networks for/in biological studies, artificial life and related topics (92B20) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Bifurcation theory of functional-differential equations (34K18)

Related Items (1)

Heteroclinic cycles imply chaos and are structurally stable

Cites Work

• Chaotic invariant sets of a delayed discrete neural network of two non-identical neurons
• Associative dynamics in a chaotic neural network.
• Chaotic dynamics of a delayed discrete-time Hopfield network of two nonidentical neurons with no self-connections
• New exponential synchronization criteria for time-varying delayed neural networks with discontinuous activations
• Stability and synchronization of memristor-based fractional-order delayed neural networks
• Using chaotic artificial neural networks to model memory in the brain
• \(p\)th moment exponential stability of stochastic memristor-based bidirectional associative memory (BAM) neural networks with time delays
• Stability and bifurcation of a class of discrete-time neural networks
• Hopf bifurcation analysis of two neurons with three delays
• Co-existence of chaos and stable periodic orbits in a simple discrete neural network
• A chaotic model of sustaining attention problem in attention deficit disorder
• Chaos on discrete neural network loops with self-feedback
• Chaotic Dynamics of Discrete Multiple-Time Delayed Neural Networks of Ring Architecture Evoked by External Inputs
• THE PERSISTENCE OF SNAP-BACK REPELLER UNDER SMALL C¹ PERTURBATIONS IN BANACH SPACES
• Global exponential stability and periodicity of recurrent neural networks with time delays
• Complex dynamics of a delayed discrete neural network of two nonidentical neurons
• The Structural Stability of Maps with Heteroclinic Repellers
• Neural networks and physical systems with emergent collective computational abilities.

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