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Chin. Phys. B, 2021, Vol. 30(12): 120516    DOI: 10.1088/1674-1056/ac16cc
Special Issue: SPECIAL TOPIC— Interdisciplinary physics: Complex network dynamics and emerging technologies
SPECIAL TOPIC—Interdisciplinary physics: Complex network dynamics and emerging technologies Prev   Next  

Modeling and dynamics of double Hindmarsh-Rose neuron with memristor-based magnetic coupling and time delay

Guoyuan Qi(齐国元) and Zimou Wang(王子谋)
Tianjin Key Laboratory of Intelligent Control of Electrical Equimpment, Tiangong University, Tianjin 300387, China
Abstract  The firing of a neuron model is mainly affected by the following factors:the magnetic field, external forcing current, time delay, etc. In this paper, a new time-delayed electromagnetic field coupled dual Hindmarsh-Rose neuron network model is constructed. A magnetically controlled threshold memristor is improved to represent the self-connected and the coupled magnetic fields triggered by the dynamic change of neuronal membrane potential for the adjacent neurons. Numerical simulation confirms that the coupled magnetic field can activate resting neurons to generate rich firing patterns, such as spiking firings, bursting firings, and chaotic firings, and enable neurons to generate larger firing amplitudes. The study also found that the strength of magnetic coupling in the neural network also affects the number of peaks in the discharge of bursting firing. Based on the existing medical treatment background of mental illness, the effects of time lag in the coupling process against neuron firing are studied. The results confirm that the neurons can respond well to external stimuli and coupled magnetic field with appropriate time delay, and keep periodic firing under a wide range of external forcing current.
Keywords:  bi-Hindmarsh and Rose (HR) neuron model      memristor      magnetic coupling      time delay  
Received:  29 April 2021      Revised:  18 July 2021      Accepted manuscript online:  22 July 2021
PACS:  05.45.-a (Nonlinear dynamics and chaos)  
  87.15.-v (Biomolecules: structure and physical properties)  
  87.15.A- (Theory, modeling, and computer simulation)  
  84.35.+i (Neural networks)  
Fund: Project supported by the National Natural Science Foundation of China (Grant No. 61873186).
Corresponding Authors:  Guoyuan Qi     E-mail:  guoyuanqisa@qq.com

Cite this article: 

Guoyuan Qi(齐国元) and Zimou Wang(王子谋) Modeling and dynamics of double Hindmarsh-Rose neuron with memristor-based magnetic coupling and time delay 2021 Chin. Phys. B 30 120516

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