Multiple discharge modes and energy dependence of a 4-D neuron under periodic disturbance

【作者】 史雪荣； 王作雷；

【Author】 Xuerong Shi;Zuolei Wang;School of Mathematics and Statistics,Yancheng Teachers University;

【机构】 School of Mathematics and Statistics,Yancheng Teachers University；

【摘要】 Based on Hindmarsh-Rose neuron, a 4-D neuron model is addressed. Various discharge modes of the proposed neuron model are investigated with the change of external disturbance. The diversity of electric activities of the neuron is to be revealed by altering the parameters in the external forcing current. According to Helmholtz theorem, Hamilton energy is calculated to describe the relationship between the energy and the discharge mode of the neuron. It is found that the energy is closely to the mode of electric activities caused by the change of the external forcing current and smaller energy occurs under bursting states. An interesting phenomenon is also found that the Hamilton energy is delayed by external forcing current, which means that the neuron plays an important role in energy coding. These research results may be beneficial for further exploring the dynamic behaviors relative to the mode transition of neuron network.更多还原

【Abstract】 Based on Hindmarsh-Rose neuron, a 4-D neuron model is addressed. Various discharge modes of the proposed neuron model are investigated with the change of external disturbance. The diversity of electric activities of the neuron is to be revealed by altering the parameters in the external forcing current. According to Helmholtz theorem, Hamilton energy is calculated to describe the relationship between the energy and the discharge mode of the neuron. It is found that the energy is closely to the mode of electric activities caused by the change of the external forcing current and smaller energy occurs under bursting states. An interesting phenomenon is also found that the Hamilton energy is delayed by external forcing current, which means that the neuron plays an important role in energy coding. These research results may be beneficial for further exploring the dynamic behaviors relative to the mode transition of neuron network.更多还原