Stability and Hopf Bifurcation of a Reaction–Diffusion Neutral Neuron System with Time Delay

DOI10.1142/S0218127417502145zbMath1387.35586OpenAlexW2786256225MaRDI QIDQ3132934

Tao Dong, Linmao Xia

Publication date: 31 January 2018

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

Full work available at URL: https://doi.org/10.1142/s0218127417502145

zbMATH Keywords

stabilityHopf bifurcationreaction-diffusionneuron systemneutral form

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Periodic solutions to PDEs (35B10) Reaction-diffusion equations (35K57) Neural networks for/in biological studies, artificial life and related topics (92B20) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Partial functional-differential equations (35R10) Bifurcations in context of PDEs (35B32)

Related Items (3)

Synchronization of hybrid coupled reaction-diffusion neural networks with time delays via generalized intermittent control with spacial sampled-data ⋮ Spacial sampled-data control for \(H_\infty\) output synchronization of directed coupled reaction-diffusion neural networks with mixed delays ⋮ Dynamics of a coupled Chua's circuit with lossless transmission line

Cites Work

• Unnamed Item
• Unnamed Item
• Stability and Hopf bifurcation of a complex-valued neural network with two time delays
• Stability, bifurcation, and synchronization of delay-coupled ring neural networks
• Stability and Hopf bifurcation of a neural network model with distributed delays and strong kernel
• Bogdanov-Takens bifurcation in a tri-neuron BAM neural network model with multiple delays
• Stability and bifurcation analysis of a reaction-diffusion equation with distributed delay
• Hopf bifurcation analysis of a BAM neural network with multiple time delays and diffusion
• Stability analysis of reaction-diffusion uncertain memristive neural networks with time-varying delays and leakage term
• Zero-Hopf bifurcation and multistability coexistence on a four-neuron network model with multiple delays
• Hopf bifurcation analysis of reaction-diffusion neural oscillator system with excitatory-to-inhibitory connection and time delay
• Delay-independent stability criteria for complex-valued BAM neutral-type neural networks with time delays
• Theory and applications of partial functional differential equations
• Synchronized bifurcation and stability in a ring of diffusively coupled neurons with time delay
• Hopf-pitchfork bifurcation in a simplified BAM neural network model with multiple delays
• ON HOPF BIFURCATION OF A DELAYED PREDATOR–PREY SYSTEM WITH DIFFUSION
• Equivariant Hopf-Pitchfork Bifurcation of Symmetric Coupled Neural Network with Delay
• Bifurcation Analysis for Neural Networks in Neutral Form
• Generalized Stability in an Array of Nonlinear Dynamic Systems with Applications to Chaotic CNN

This page was built for publication: Stability and Hopf Bifurcation of a Reaction–Diffusion Neutral Neuron System with Time Delay