Synchronal Dynamics Of Delayed Neuron System Induced By Noise

In this paper, some synchronal dynamics of delayed neuron system induced by noise are considered.The ways that enhance or inhibit neuronal synchronization by adjusting noisy parameters are obtained.And it can give a certain guidance to the neural electro-physiological experiments.Firstly, the elementary concepts of neuron, models and the way of neuron cou-pling are presented.Secondly, complete synchronization and noise effects of delayed electrically cou-pled neurons are studied. The problem of complete synchronization of coupled neu-rons is transformed into discussing the error maximum of membrane potential.Under certain intensity, noise not only can enhance complete synchronization between neu-rons, but also can inhibit it.Thirdly, phase synchronization of delayed ring coupled neurons effected by noise is studied in detail.The definition of phase based on the Poincare section is chosen to calculate the phase of a neuron.The changed trend of phase error maximum is used to show the problem of neuronal phase synchronization.Numerical results show that weak noise not only can enhance phase synchronization between neurons, but also can destroy it.Finally, in order to highlight noisy effect in signal and informational transmis-sion, synchronization of delayed global coupling neurons effected by noise is studied in detail.As a result,the weak noise mainly plays a positive role in complete synchro-nization of global coupling neurons.And the weak noise mainly plays a suppressed role in phase synchronization of global coupling neurons.