AN EFFICIENT METHOD FOR STUDYING FOLD-HOPF BIFURCATION IN DELAYED NEURAL NETWORKS

DOI10.1142/S0218127411029100zbMath1248.34106MaRDI QIDQ3165776

Jian Xu, Juhong Ge

Publication date: 19 October 2012

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

zbMATH Keywords

classificationmultistabilitydelayed neural networkfold-Hopf bifurcation

Mathematics Subject Classification ID

Neural networks for/in biological studies, artificial life and related topics (92B20) Stability theory of functional-differential equations (34K20) Periodic solutions to functional-differential equations (34K13) Bifurcation theory of functional-differential equations (34K18) Stationary solutions of functional-differential equations (34K21)

Related Items (6)

Zero-Hopf bifurcation and multistability coexistence on a four-neuron network model with multiple delays ⋮ Stability switches, bifurcation, and multi-stability of coupled networks with time delays ⋮ HOPF-ZERO BIFURCATION OF A DELAYED PREDATOR-PREY MODEL WITH DORMANCY OF PREDATORS ⋮ Hopf-pitchfork bifurcation in a two-neuron system with discrete and distributed delays ⋮ Switching to Nonhyperbolic Cycles from Codimension Two Bifurcations of Equilibria of Delay Differential Equations ⋮ Bifurcation of the periodic motion in nonlinear delayed oscillators

Uses Software

• XPPAUT

Cites Work

• XPPAUT
• Bifurcations, stability, and monotonicity properties of a delayed neural network model
• Bifurcation analysis in a simplified tri-neuron BAM network model with multiple delays
• Global Hopf bifurcation analysis on a BAM neural network with delays
• Fold-Hopf bifurcation in a simplified four-neuron BAM (bidirectional associative memory) neural network with two delays
• A perturbation-incremental scheme for studying Hopf bifurcation in delayed differential systems
• Nonlinear dynamics and stability of analog neural networks
• Stability and synchronization of a ring of identical cells with delayed coupling
• Two-parameter bifurcations in a network of two neurons with multiple delays
• Global Hopf bifurcation analysis of a BAM neural network with delays
• Multistability and stable asynchronous periodic oscillations in a multiple-delayed neural system
• PATTERNS OF OSCILLATION IN A RING OF IDENTICAL CELLS WITH DELAYED COUPLING
• COMPLETE CLASSIFICATION OF EQUILIBRIA AND THEIR STABILITY IN A DELAYED NEURON NETWORK
• Stability, Bifurcation, and Multistability in a System of Two Coupled Neurons with Multiple Time Delays
• Frustration, Stability, and Delay-Induced Oscillations in a Neural Network Model
• An Efficient Method for Studying Weak Resonant Double Hopf Bifurcation in Nonlinear Systems with Delayed Feedbacks
• Multistability in Recurrent Neural Networks

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