HOPF BIFURCATION OF A TWO-NEURON NETWORK WITH DIFFERENT DISCRETE TIME DELAYS

DOI10.1142/S0218127405012879zbMath1092.34563MaRDI QIDQ5474250

Xiaofeng Liao, Shaowen Li, Chunguang Li, Kwok-Wo Wong

Publication date: 23 June 2006

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

Mathematics Subject Classification ID

Neural biology (92C20) Dynamical systems in biology (37N25) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Bifurcation theory of functional-differential equations (34K18)

Related Items (14)

Hopf bifurcation analysis of a four-neuron network with multiple time delays ⋮ IMPULSIVE EFFECT OF CONTINUOUS-TIME NEURAL NETWORKS UNDER PURE STRUCTURAL VARIATIONS ⋮ Dynamics in a delayed neural network model of two neurons with inertial coupling ⋮ LOCAL AND GLOBAL HOPF BIFURCATION IN A TWO-NEURON NETWORK WITH MULTIPLE DELAYS ⋮ FOLD–HOPF BIFURCATIONS OF THE ROSE–HINDMARSH MODEL WITH TIME DELAY ⋮ Two-parameter bifurcations in a network of two neurons with multiple delays ⋮ Hopf bifurcation analysis for a two-neuron network with four delays ⋮ Bautin bifurcation in a class of two-neuron networks with resonant bilinear terms ⋮ Hopf bifurcation analysis of two neurons with three delays ⋮ Dynamics of a delayed two-coupled oscillator with excitatory-to-excitatory connection ⋮ Double Hopf Bifurcation and the Existence of Quasi-Periodic Invariant Tori in a Generalized Gopalsamy Delayed Neural Network Model ⋮ Bifurcation analysis of a tri-neuron neural network model in the frequency domain ⋮ Bogdanov-Takens singularity in a network of two coupled neurons with delayed feedbacks ⋮ Bifurcation Analysis of Fractional Order Single Cell with Delay

Cites Work

• Hopf bifurcation on a two-neuron system with distributed delays: a frequency domain approach
• Delay induced periodicity in a neural netlet of excitation and inhibition
• The Hopf bifurcation theorem and its applications to nonlinear oscillations in circuits and systems
• Harmonic balance and the Hopf bifurcation
• Novel robust stability criteria for interval-delayed Hopfield neural networks
• LMI-based approach for asymptotically stability analysis of delayed neural networks

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