Unidirectional Synchronization of Hodgkin-Huxley Neurons With Prescribed Performance Under Transcranial Magneto-Acoustical Simulation

Frontiers in Neuroscience

Dan Liu¹  Song Zhao²  Xiaoyuan Luo³  Yi Yuan³ 

[1] College of Integrative Medicine, Hebei University of Chinese Medicine, Shijiazhuang, China;Department of Medical Imaging, The Second Hospital of Hebei Medical University, Shijiazhuang, China;School of Electrical Engineering, Yanshan University, Qinhuangdao, China;

关键词: TMAS;    Hodgkin-Huxley neuron;    unidirectional synchronization;    adaptive neural control;    predefined performance;   

DOI  :  10.3389/fnins.2019.01061

来源: DOAJ

【 摘 要 】

This paper exploits the unidirectional synchronization dynamics of two Hodgkin-Huxley (HH) neurons under transcranial magneto-acoustical stimulation (TMAS). The major purpose is to explore a control scheme to make the spiking modes of the neural potentials stimulated by TMAS achieve synchronization states under the feedback input. For this purpose, an adaptive neural controller, which makes the neurons satisfy the prescribed master-slaver synchronization performance, is designed by introducing a tracking error into Lyapunov analysis. Under the proposed control scheme, the slaver neuron can not only overcome the model uncertainties and the difficulties brought by prescribed performance, but also track the spiking patterns of the master neuron. Finally, the simulations are implemented to demonstrate the effectiveness of the proposed controller, that is, the TMAS induced synchronization states of the HH neuron system can achieve the prescribed performance under the proposed controller.

【 授权许可】

Unknown