title: Lévy noise improves the electrical activity in a neuron under electromagnetic radiation.
abstract: As the fluctuations of the internal bioelectricity of nervous system is various and complex, the external electromagnetic radiation induced by magnet flux on membrane can be described by the non-Gaussian type distribution of Lévy noise. Thus, the electrical activities in an improved Hindmarsh-Rose model excited by the external electromagnetic radiation of Lévy noise are investigated and some interesting modes of the electrical activities are exhibited. The external electromagnetic radiation of Lévy noise leads to the mode transition of the electrical activities and spatial phase, such as from the rest state to the firing state, from the spiking state to the spiking state with more spikes, and from the spiking state to the bursting state. Then the time points of the firing state versus Lévy noise intensity are depicted. The increasing of Lévy noise intensity heightens the neuron firing. Also the stationary probability distribution functions of the membrane potential of the neuron induced by the external electromagnetic radiation of Lévy noise with different intensity, stability index and skewness papremeters are analyzed. Moreover, through the positive largest Lyapunov exponent, the parameter regions of chaotic electrical mode of the neuron induced by the external electromagnetic radiation of Lévy noise distribution are detected.
authors.affiliation: Department of Applied Mathematics, Northwestern Polytechnical University, Xi'an, China.|School of Mathematics & Information Science, Beifang University of Nationalities, Yinchuan, China.|Potsdam Institute for Climate Impact Research, Potsdam, Germany.|Department of Physics, Humboldt University Berlin, Berlin, Germany.
authors.forename: Juan
authors.initials: J
authors.lastname: Wu
authors.affiliation: Department of Applied Mathematics, Northwestern Polytechnical University, Xi'an, China.|School of Mathematics & Information Science, Beifang University of Nationalities, Yinchuan, China.|Potsdam Institute for Climate Impact Research, Potsdam, Germany.|Department of Physics, Humboldt University Berlin, Berlin, Germany.
authors.forename: Yong
authors.identifier: http://orcid.org/0000-0002-8407-4650
authors.initials: Y
authors.lastname: Xu
authors.affiliation: Department of Physics, Lanzhou University of Technology, Lanzhou, China.
authors.forename: Jun
authors.initials: J
authors.lastname: Ma
mesh_terms: D000200:Action Potentials / Q000502:physiology; D003198:Computer Simulation; D060733:Electromagnetic Radiation; D008564:Membrane Potentials / Q000502:physiology; D008962:Models, Theoretical; D009474:Neurons / Q000378:metabolism*; D009622:Noise