Neuronal Synchronization of Electrical Activity, Using the Hodgkin-Huxley Model and RCLSJ Circuit

摘要

We simulated the neuronal electrical activity using the Hodgkin-Huxleymodel (HH) and a superconductor circuit, containing Josephson junctions.These HH model make possible simulate the main neuronal dynamics characteristicssuch as action potentials, firing threshold and refractory period.The purpose of the manuscript is show a method to syncronize a RCLshuntedJosephson junction to a neuronal dynamics represented by theHH model. Thus the RCLSJ circuit is able to mimics the behavior of theHH neuron. We controlated the RCLSJ circuit, using and improved adaptativetrack scheme, that with the improved Lyapunov functions and thetwo controllable gain coefficients allowing synchronization of two neuronalmodels. Results will provide the path to follow forward the understandingneuronal networks synchronization about, generating the intrinsic brainbehavior.