Synchronization, Multiresonance Phenomena, and Discrete Oscillation Periods in a Hopfield Neural Network with Two Time Delays

DOI10.1142/S0218127422500663zbMath1497.34115OpenAlexW4224731138MaRDI QIDQ5072437

Kelvin Rozier, Vladimir E. Bondarenko

Publication date: 28 April 2022

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

Full work available at URL: https://doi.org/10.1142/s0218127422500663

zbMATH Keywords

Hopfield neural networkmemoryoscillation controlbrain function

Mathematics Subject Classification ID

Neural biology (92C20) Neural networks for/in biological studies, artificial life and related topics (92B20) Control problems for functional-differential equations (34K35) Periodic solutions to functional-differential equations (34K13) Qualitative investigation and simulation of models involving functional-differential equations (34K60) Synchronization of functional-differential equations (34K24)

Cites Work

• Improved exponential stability analysis for delayed recurrent neural networks
• Stability in a model of a delayed neural network
• Image processing with neural networks -- a review
• Delay-induced synchronization in two coupled chaotic memristive Hopfield neural networks
• Modeling the glucose-insulin regulatory system and ultradian insulin secretory oscillations with two explicit time delays
• Self-Organization Processes in Chaotic Neural Networks Under External Periodic Force
• Global Attractivity in Delayed Hopfield Neural Network Models
• Analog Neural Network Model Produces Chaos Similar to the Human EEG
• Frustration, Stability, and Delay-Induced Oscillations in a Neural Network Model
• Nonlinear dynamics of delay systems: an overview

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