Hopf bifurcation analysis of a BAM neural network with multiple time delays and diffusion

DOI10.1016/J.AMC.2015.06.009zbMath1410.34208OpenAlexW792015707MaRDI QIDQ669433

Qintao Gan, Xiaohong Tian, Rui Xu

Publication date: 15 March 2019

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

Full work available at URL: https://doi.org/10.1016/j.amc.2015.06.009

zbMATH Keywords

diffusionHopf bifurcationmultiple time delaysBAM neural network

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Neural networks for/in biological studies, artificial life and related topics (92B20) Stability theory of functional-differential equations (34K20) Discrete version of topics in analysis (39A12) Bifurcation theory of functional-differential equations (34K18)

Related Items (7)

Effects of multiple delays on dynamics of a five-neuron network model ⋮ Hopf bifurcation analysis of reaction-diffusion neural oscillator system with excitatory-to-inhibitory connection and time delay ⋮ Turing instability and pattern formation of a fractional Hopfield reaction–diffusion neural network with transmission delay ⋮ Hopf bifurcation analysis and ultimate bound estimation of a new 4-D quadratic autonomous hyper-chaotic system ⋮ Spatiotemporal Dynamics in Reaction–Diffusion Neural Networks Near a Turing–Hopf Bifurcation Point ⋮ PATTERN FORMATION IN REACTION-DIFFUSION NEURAL NETWORKS WITH LEAKAGE DELAY ⋮ Stability and Hopf Bifurcation of a Reaction–Diffusion Neutral Neuron System with Time Delay

Cites Work

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• Stability criteria for BAM neural networks with leakage delays and probabilistic time-varying delays
• Stability and Hopf bifurcation of a delayed reaction-diffusion neural network
• Cellular neural networks: theory
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• Neurons with graded response have collective computational properties like those of two-state neurons.

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