Hopf-pitchfork bifurcation in a simplified BAM neural network model with multiple delays

DOI10.1016/j.cam.2013.04.027zbMath1294.34077OpenAlexW2030399250MaRDI QIDQ2453194

Tao Dong, Xiaofeng Liao

Publication date: 6 June 2014

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

Full work available at URL: https://doi.org/10.1016/j.cam.2013.04.027

zbMATH Keywords

time delayBAMHopf-pitchfork bifurcationtri-neuron system

Mathematics Subject Classification ID

Transformation and reduction of functional-differential equations and systems, normal forms (34K17) Stability theory of functional-differential equations (34K20) Periodic solutions to functional-differential equations (34K13) Qualitative investigation and simulation of models involving functional-differential equations (34K60) Bifurcation theory of functional-differential equations (34K18)

Related Items (11)

Stability and Hopf bifurcation of a complex-valued neural network with two time delays ⋮ Double Hopf bifurcation in a four-neuron delayed system with inertial terms ⋮ Period-adding bifurcation and chaos in a hybrid Hindmarsh-Rose model ⋮ 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 ⋮ Zero-Hopf bifurcation of a memristive synaptic Hopfield neural network with time delay ⋮ New insight into bifurcation of fractional-order 4D neural networks incorporating two different time delays ⋮ Hopf bifurcation analysis of a BAM neural network with multiple time delays and diffusion ⋮ Zero-Hopf singularity in bidirectional ring network model with delay ⋮ Hopf-pitchfork bifurcation of coupled van der Pol oscillator with delay ⋮ Stability and Hopf Bifurcation of a Reaction–Diffusion Neutral Neuron System with Time Delay

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