首页|Dynamics and synchronization of neural models with memristive membranes under energy coupling
Dynamics and synchronization of neural models with memristive membranes under energy coupling
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Dynamical modeling of neural systems plays an important role in explaining and predicting some features of bio-physical mechanisms.The electrophysiological environment inside and outside of the nerve cell is different.Due to the continuous and periodical properties of electromagnetic fields in the cell during its operation,electronic components in-volving two capacitors and a memristor are effective in mimicking these physical features.In this paper,a neural circuit is reconstructed by two capacitors connected by a memristor with periodical mem-conductance.It is found that the memris-tive neural circuit can present abundant firing patterns without stimulus.The Hamilton energy function is deduced using the Helmholtz theorem.Further,a neuronal network consisting of memristive neurons is proposed by introducing en-ergy coupling.The controllability and flexibility of parameters give the model the ability to describe the dynamics and synchronization behavior of the system.
memristorneuronal modelenergysynchronization
万婧玥、吴富强、马军、汪文帅
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School of Mathematics and Statistics,Ningxia University,Yinchuan 750021,China
Ningxia Basic Science Research Center of Mathematics,Ningxia University,Yinchuan 750021,China
Department of Physics,Lanzhou University of Technology,Lanzhou 730050,China
国家自然科学基金Ningxia Science and Technology Leading Talent Training Program