Stability and bifurcation in a tri-neuron network model with discrete and distributed delays

DOI10.1016/J.AMC.2006.11.039zbMath1130.93010OpenAlexW1994616000MaRDI QIDQ2372056

Huiyan Zhu, Li-Hong Huang

Publication date: 10 July 2007

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2006.11.039

zbMATH Keywords

stabilitydelayneural networkHopf bifurcation

Mathematics Subject Classification ID

Neural networks for/in biological studies, artificial life and related topics (92B20) Nonlinear systems in control theory (93C10) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Large-scale systems (93A15)

Related Items (4)

Stability and bifurcation analysis on a ring of five neurons with discrete delays ⋮ Dynamics of unidirectionally-coupled ring neural network with discrete and distributed delays ⋮ Stability and bifurcation analysis for a neural network model with discrete and distributed delays ⋮ Delay-dependent multistability in recurrent neural networks

Cites Work

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• Bifurcations, stability, and monotonicity properties of a delayed neural network model
• Introduction to functional differential equations
• Dynamics of a class of nonlinear discrete-time neural networks
• Convergence and periodicity of solutions for a class of delay difference equations
• Minimal instability and unstable set of a phase-locked periodic orbit in a delayed neural network
• Convergence and periodicity of solutions for a neural network of two neurons
• Dynamics of a two-neuron system with discrete and distributed delays
• Delay induced periodicity in a neural netlet of excitation and inhibition
• QUALITATIVE ANALYSIS OF A NEURAL NETWORK MODEL WITH MULTIPLE TIME DELAYS
• Absolute stability, conditional stability and bifurcation in Kolmogorov-type predator-prey systems with discrete delays
• Periodic solutions of planar systems with two delays
• Almost-periodic behavior of solutions of a nonlinear Volterra system.
• Volterra integral and differential equations

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