Hopf bifurcation in a control system for the washout filter-based delayed neural equation

DOI10.1016/j.chaos.2004.03.025zbMath1071.93042OpenAlexW2053941193MaRDI QIDQ1772637

Zhongfu Wu, Xiaofeng Liao, Shangbo Zhou, Kwok-Wo Wong

Publication date: 21 April 2005

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2004.03.025

zbMATH Keywords

stabilizationneural networksHopf bifurcationtime delayschaotic control modelstability of the periodic orbit

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Neural networks for/in biological studies, artificial life and related topics (92B20) Nonlinear systems in control theory (93C10) Control/observation systems governed by functional-differential equations (93C23) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15)

Related Items (8)

Dynamics for a class of nonlinear systems with time delay ⋮ On global stability criterion of neural networks with continuously distributed delays ⋮ Bifurcation analysis of a delay reaction-diffusion malware propagation model with feedback control ⋮ On global stability criterion for neural networks with discrete and distributed delays ⋮ Analysis for a special first order characteristic equation with delay dependent parameters ⋮ An analysis of global robust stability of uncertain cellular neural networks with discrete and distributed delays ⋮ Analysis and control of the bifurcation of Hodgkin-Huxley model ⋮ Bifurcation control of the Hodgkin-Huxley equations

Cites Work

• Unnamed Item
• Bifurcations, stability, and monotonicity properties of a delayed neural network model
• Hopf bifurcation and chaos in a single delayed neuron equation with non-monotonic activation function
• Delay induced periodicity in a neural netlet of excitation and inhibition
• Adaptive control of chaotic continuous-time systems with delay
• On time-delayed feedback control of chaotic systems
• Strange attractors in delayed cellular neural networks

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