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arXiv 2004-11-10 DOI 10.1140/epjb/e2004-00327-2 0 views

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

Li, Chunguang · Chen, Guanrong · Liao, Xiaofeng · Yu, Juebang

Original · EN

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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