Fold-Hopf bifurcation in a simplified four-neuron BAM (bidirectional associative memory) neural network with two delays

DOI10.1007/S11431-010-0079-3zbMath1205.37087OpenAlexW2062585003MaRDI QIDQ987288

Juhong Ge, Jian Xu

Publication date: 13 August 2010

Published in: Science China. Technological Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11431-010-0079-3

zbMATH Keywords

time delayunfoldingcentre manifoldcodimension-two bifurcationsolution classification

Mathematics Subject Classification ID

Neural biology (92C20) Dynamical systems in biology (37N25) Normal forms, center manifold theory, bifurcation theory for infinite-dimensional dissipative dynamical systems (37L10)

Related Items (6)

The Bogdanov-Takens bifurcation study of \(2m\) coupled neurons system with \(2m+1\) delays ⋮ AN EFFICIENT METHOD FOR STUDYING FOLD-HOPF BIFURCATION IN DELAYED NEURAL NETWORKS ⋮ Stability switches and multistability coexistence in a delay-coupled neural oscillators system ⋮ Double Hopf bifurcation in a four-neuron delayed system with inertial terms ⋮ Effects of multiple delays on dynamics of a five-neuron network model ⋮ \(S\)-asymptotically periodic fractional functional differential equations with off-diagonal matrix Mittag-Leffler function kernels

Cites Work

• Unnamed Item
• Bifurcations, stability, and monotonicity properties of a delayed neural network model
• Existence and stability of periodic solution for BAM neural networks with distributed delays
• Bifurcation analysis in a simplified tri-neuron BAM network model with multiple delays
• Global Hopf bifurcation analysis on a BAM neural network with delays
• Stability and Hopf bifurcation analysis on a four-neuron BAM neural network with time delays
• A perturbation-incremental scheme for studying Hopf bifurcation in delayed differential systems
• Stability and Hopf bifurcation analysis on a simplified BAM neural network with delays
• Hopf bifurcation in bidirectional associative memory neural networks with delays: Analysis and computation
• Normal forms for retarded functional differential equations with parameters and applications to Hopf bifurcation
• Normal forms for retarded functional differential equations and applications to Bogdanov-Takens singularity
• Global Hopf bifurcation analysis of a BAM neural network with delays
• Global existence of periodic solutions in a simplified four-neuron BAM neural network model with multiple delays

This page was built for publication: Fold-Hopf bifurcation in a simplified four-neuron BAM (bidirectional associative memory) neural network with two delays