Bifurcation of fractional-order time-delayed neural network with ring-star structure under higher-order interactions
XU Shi-guo
XIAO Min
QIU Jian-long
YANG Xin-song
HUANG Chuang-xia
Abstract：Currently,studies on the bifurcation dynamics of neural networks mainly focus on the binary interactions between neurons,while higher-order interactions between neurons in the form of groups and clusters are common in neural networks.However,the effect of higher-order interactions on the dynamics of neural networks is not well understood.The study of neural networks with higher-order interactions can further explore the higher-order properties and dynamics of real neural networks.In this paper,we propose a class of fractional-order time-delayed neural network with ring-star structure under higher-order interactions.The time delay is chosen as the bifurcation parameter,and the stability of the system and the sufficient condition for Hopf bifurcation are given,which reveals the mechanism of the higher-order coupling coefficient,the self-feedback coefficient and the fractional-order on the system dynamics.
Keywords：neural networkshigher-order interactionsfractional-orderHopf bifurcation
Publication Date：2026-01-30
Online Publishing Date：2026-02-05(First online date of this platform, not the publication date of the document)
Pages：10( 12-21 )