DYNAMICS OF A TWO-DIMENSIONAL DELAYED SMALL-WORLD NETWORK UNDER DELAYED FEEDBACK CONTROL

DOI10.1142/S021812740601677XzbMath1129.34053OpenAlexW2051695959MaRDI QIDQ5297269

Huailei Wang, Xu Xu, Hai-Yan Hu

Publication date: 18 July 2007

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

Full work available at URL: https://doi.org/10.1142/s021812740601677x

zbMATH Keywords

time delaycenter manifold theoremnormal form theorystability switchSmall-world network

Mathematics Subject Classification ID

Feedback control (93B52) Stability theory of functional-differential equations (34K20) Control problems for functional-differential equations (34K35) Qualitative investigation and simulation of models involving functional-differential equations (34K60) Bifurcation theory of functional-differential equations (34K18) Complex (chaotic) behavior of solutions to functional-differential equations (34K23)

Related Items (13)

Hopf bifurcation analysis of a four-neuron network with multiple time delays ⋮ Effects of small world connection on the dynamics of a delayed ring network ⋮ STABILITY AND HOPF BIFURCATION OF A DELAYED NETWORK OF FOUR NEURONS WITH A SHORT-CUT CONNECTION ⋮ Stability and instability of a neuron network with excitatory and inhibitory small-world connections ⋮ Dynamics and Control of a Delayed Oscillator Network by Pinning Strategy ⋮ Exponential stability and spectral analysis of a delayed ring neural network with a small-world connection ⋮ LOCAL AND GLOBAL HOPF BIFURCATION IN A TWO-NEURON NETWORK WITH MULTIPLE DELAYS ⋮ Hopf Bifurcation and Stability Crossing Curve in a Planktonic Resource–Consumer System with Double Delays ⋮ COLLECTIVE DYNAMICS AND CONTROL OF A 3-D SMALL-WORLD NETWORK WITH TIME DELAYS ⋮ Stability, Instability and Bifurcation Modes of a Delayed Small World Network with Excitatory or Inhibitory Short-Cuts ⋮ Stability and Hopf bifurcations of an optoelectronic time-delay feedback system ⋮ EFFECTS OF SHORT-CUT IN A DELAYED RING NETWORK ⋮ Stability and Hopf Bifurcation of a Delayed Mutualistic System

Uses Software

• XPPAUT

Cites Work

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• Effects of time delayed position feedback on a van der Pol-Duffing oscillator
• Local stability and Hopf bifurcation in small-world delayed networks
• Blinking model and synchronization in small-world networks with a time-varying coupling
• Spreading and shortest paths in systems with sparse long-range connections
• STABILITY SWITCHES OF TIME-DELAYED DYNAMIC SYSTEMS WITH UNKNOWN PARAMETERS
• Collective dynamics of ‘small-world’ networks
• Fractals in small-world networks with time-delay

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