Hopf Bifurcation and Chaos in a Single Inertial Neuron Model with Time Delay

Details Hopf Bifurcation and Chaos in a Single Inertial Neuron Model with Time Delay Hopf Bifurcation and Chaos in a Single Inertial Neuron Model with Time Delay

2004-11-10

arxiv.org/abs/nlin/0411027v1

European Physical Journal B, Vol. 41, pp. 337-343, 2004

Nonlinear Sciences

Chaotic Dynamics

12 pages, 7 figures

Scientific paper

10.1140/epjb/e2004-00327-2

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.

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