Abstract
The dynamical characteristics and chaotic synchronization of the time-delay fractional-order coupled HR neurons under electromagnetic radiation are investigated in this paper. By numerical analysis, the improved neuron model presents complex dynamical behaviors by adding the fractional order q. Meanwhile, based on Lyapunov stability criterion, Gronwalls inequality, Laplace transform, Mittag–Leffler functions, and linear feedback control technique, some new sufficient conditions are derived to ensure the chaotic synchronization of our proposed neuron model with fractional order q: $$0<q<1$$ and $$1<q<2$$ . Finally, some numerical simulations are exploited to verify the presented theoretical results.
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