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Adaptive Synchronization of Fractional-Order Coupled Neurons Under Electromagnetic Radiation

Fanqi Meng

http://orcid.org/0000-0001-9921-089X

School of Mathematics and Statistics, Yancheng Teachers University, Yancheng, P. R. China

Computer and Information Engineering College, Hohai University, Nanjing, P. R. China

E-mail Address: fqmeng@hhu.edu.cn

Corresponding author.

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Xiaoqin Zeng

Computer and Information Engineering College, Hohai University, Nanjing, P. R. China

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Zuolei Wang

School of Mathematics and Statistics, Yancheng Teachers University, Yancheng, P. R. China

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, and

Xinjun Wang

Computer and Information Engineering College, Hohai University, Nanjing, P. R. China

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https://doi.org/10.1142/S0218127420500443Cited by:16 (Source: Crossref)

Abstract

In this paper, we investigate the dynamical characteristics of four-variable fractional-order Hindmarsh–Rose neuronal model under electromagnetic radiation. The numerical results show that the improved model exhibits more complex dynamical behavior with more bifurcation parameters. Meanwhile, based on the fractional-order Lyapunov stability theory, we propose two adaptive control methods with a single controller to realize chaotic synchronization between two coupled neurons. Finally, numerical simulations show the feasibility and effectiveness of the presented method.

Keywords:

References

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