Hopf bifurcation and chaos in a single inertial neuron model with time delay

2004/10/01 by Chunguang Li, Guanrong Chen, Guangrong Chen +2
Computer Science · Physics and Astronomy · #Chaos control and synchronization #Neural Networks Stability and Synchronization #nlin.CD #stochastic dynamics and bifurcation

paper · pdf · doi:10.1140/epjb/e2004-00327-2

published as European Physical Journal B, Vol. 41, pp. 337-343, 2004 · 12 pages, 7 figures

openalex publication_date 2004/10/01 · arxiv created 2004/11/10 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

A delayed differential equation modelling a single neuron with inertial term is considered in this paper. Hopf bifurcation is studied by using the normal form theory of retarded functional differential equations. When adopting a nonmonotonic activation function, chaotic behavior is observed. Phase plots, waveform plots, and power spectra are presented to confirm the chaoticity.

Citations

• Differential-Difference Equations

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