Influences of electromagnetic radiation distribution on chaotic dynamics of a neural network

Hairong Lin and Chunhua Wang

Applied Mathematics and Computation, 2020, vol. 369, issue C

Abstract: Electromagnetic radiation has an effect on the functional behavior of nervous system, and appropriate electromagnetic radiation is helpful to treat some neurological diseases. In this article, we investigate the effects of electromagnetic radiation distribution on the nonlinear dynamics of a neural network with n neurons. A new mathematical model of the neural network under electromagnetic radiation is developed and analyzed, where electromagnetic radiation is equivalent to the magnetic flux passing through the cell membrane. Chaotic dynamics of the nerve system is detailedly studied by stimulating different number of neurons in the neural network model consisted of three neurons. It is proved that with the increasing of the number of neurons stimulated by electromagnetic radiation, the dynamics behaviors of the neural network gradually change from period moving to chaos, transient chaos and intricate hyperchaos. That is, the dynamical behaviors of the neural system can be modulated through changing the number of neurons affected by electromagnetic radiation in neural network. Therefore, it could give new insights to understand the occurrence mechanism of some neuronal diseases. Moreover, a flexible hardware circuit of the neural network with different electromagnetic radiation distribution is implemented by using commercially available electronic elements, and the experimental measurements are consistent with numerical simulation results.

Keywords: Neural network; Dynamics behaviors; Transient chaos; Hyperchaos; Electromagnetic radiation (search for similar items in EconPapers)
Date: 2020
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (12)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:369:y:2020:i:c:s009630031930832x

DOI: 10.1016/j.amc.2019.124840

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