Nonlinear Dynamics

, Volume 95, Issue 2, pp 1615–1625 | Cite as

Dynamical behavior and synchronization in time-delay fractional-order coupled neurons under electromagnetic radiation

  • Fanqi Meng
  • Xiaoqin Zeng
  • Zuolei WangEmail author
Original Paper


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.


Fractional-order Electromagnetic radiation Neuron Synchronization Bifurcation 



The authors are very grateful to the anonymous reviewers for their valuable comments. This work is supported by the National Science Foundation of China (Grant Nos. 51777180, 11771376).

Compliance with ethical standards

Conflict of interest

The authors declare that they have no conflict of interest.


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© Springer Nature B.V. 2018

Authors and Affiliations

  1. 1.Computer and Information Engineering CollegeHohai UniversityNanjingPeople’s Republic of China
  2. 2.School of Mathematics and StatisticsYancheng Teachers UniversityYanchengPeople’s Republic of China

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