Study on Dynamic Bifurcation of the Hindmarsh-Rose Neuron under Parameters Changing
In the thesis, the dynamic bifurcation characteristics of the Hindmarsh-Rose neuron are analyzed and discussed by the neurodynamic theory and methods.Under the stimulation of the current, the neurons discharge pattern changes from the resting state to the tonic firing, which needs the currents amplitude reaching a certain value.Moreover the stimulation strength threshold has something to do with the parameter r of the neuron.When the stimulation current increases gradually, the general trend of the membrane potentials ISI is the gradual decrease(The discharge frequency of the neuron increases gradually).The discharge patterns of the neuron are changed, and the neuron undergoes the process of dynamic bifurcation.This bifurcation process of the neuron has something to do with the parameter r.and different parameter r causes different bifurcation.Under a certain currents stimulation, the HR neuron has plenty of discharge patterns with the parameter rs changing.From the view of neurodynamics, the discharge patterns of the HR neuron are changed, in substance, the HR neuron undergoes dynamic bifurcation process.Therefore, The HR neurons discharge patterns can be adjusted and controlled by the stimulation current / and the parameter r.This investigation is helpful to know and investigate deeply the dynamic characteristics and the bifurcation mechanism of the HR neuron; and it provides a certain theory assist to investigate many neurons synchronization and the neural networks synchronization.
The Hindmarsh-Rose neuron Neurodynamics Bifurcation
Yueping Peng
Engineering College of Armed Police Force,710086,Xian,China
国际会议
厦门
英文
345-349
2011-07-08（万方平台首次上网日期，不代表论文的发表时间）