Journal
NONLINEAR DYNAMICS
Volume 91, Issue 1, Pages 515-523Publisher
SPRINGER
DOI: 10.1007/s11071-017-3886-2
Keywords
Neuron; Bifurcation; Magnetic flow; Memristor; Electromagnetic radiation
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Funding
- National Natural Science Foundation of China [11775091, 11474117]
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The Hindmarsh-Rose (HR) neuron model has been improved to investigate the complex electrophysiological and various physical phenomena at the level of single cell, for example, time-varying action potential can be induced by the exchange of ion currents and the fluctuation of ions concentration in the cell. When the magnetic flux is considered as a new variable associated to magnetic field, the improved HR neuron model can describe the effects of electromagnetic induction and radiation on membrane potential, where a memristor is used to bridge the membrane potential and the magnetic flux. In this paper, considering the magnetic flux driven, respectively, by the periodic high and low frequency electromagnetic radiation and the Gaussian white noise, the improved HR neuron model is employed to study the modes transition in electrical activities of neuron. The thought-provoking phenomena are detected and discussed by using bifurcation analysis on sampled time series of membrane potential. It is found that the electrical modes of HR neuron model under various parameters have different responses to the periodic high-low frequency electromagnetic radiation and the Gaussian white noise.
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