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Synchronization and energy balance of star network composed of photosensitive neurons

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Abstract

The information processing and encoding of nervous system requires complete collaboration of a large number of neurons in different functional regions of the brain, and the synchronization stability indicates the cooperative and competitive behaviors among neurons. Unusual synchronization is the main manifestation of brain functional diseases. It is an effective method to adjust the synchronization state of neurons by applying external stimulation. Indeed, quick creation and connection of synapses to neurons with appropriate intensity can regulate the collective behaviors of neurons effectively, and then, the energy diversity can be decreased to achieve energy balance. In this paper, a phototube is incorporated into a simple FitzHugh–Nagumo neural circuit for obtaining a light-sensitive neuron model, which is capable for simulating the neural activities in visual neurons. A star network is designed by connecting four photosensitive neurons with electric synapse. The coupling channel is controlled with an adaptive criterion and the coupling intensity is exponentially enhanced to a saturation threshold before the energy diversity between neurons reaches a tiny threshold. It is found that all identical neurons realize complete synchronization and energy balance no matter whether the neurons are presented in spiking, bursting, or chaotic patterns. Nevertheless, phase lock phenomenon occurs in the network when neurons are activated with showing different firing modes, and energy is pumped continuously along the coupling channels even the coupling intensity is further increased.

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Acknowledgements

This research is partly supported by the National Natural Science Foundation of China under Grant No. 12062009.

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Authors and Affiliations

  1. College of Electrical and Information Engineering, Lanzhou University of Technology, Lanzhou, 730050, China

    Feifei Yang & Jun Ma

  2. Department of Physics, Lanzhou University of Technology, Lanzhou, 730050, China

    Jun Ma

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  1. Feifei Yang
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  2. Jun Ma
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FY finished the numerical calculation and wrote the original draft. JM suggested this project and wrote the final version.

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Correspondence to Jun Ma.

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Additional information

Collective Behavior of Nonlinear Dynamical Oscillators. Guest editors: Sajad Jafari, Bocheng Bao, Christos Volos, Fahimeh Nazarimehr, Han Bao.

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Yang, F., Ma, J. Synchronization and energy balance of star network composed of photosensitive neurons. Eur. Phys. J. Spec. Top. 231, 4025–4035 (2022). https://doi.org/10.1140/epjs/s11734-022-00698-0

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