两耦合HR混沌神经元同步研究

Study on Synchronization of Two Coupled Chaotic HR Neurons

基于Hindmarsh-Rose(HR)神经元动力学模型,通过数值计算耦合神经元系统的同步差和峰峰间期(ISI)随耦合强度的变化研究了2个耦合混沌HR神经元在近邻反馈耦合下的同步过程。结果表明,初态混沌的HR神经元在耦合中存在着复杂的同步过程;伴随耦合强度的增大,神经元会交替出现混沌发放、周期发放等放电现象;在达到精确的完全同步之前,会交替出现簇同步、近似同步和完全同步等同步现象;在弱耦合条件下,神经元会出现反同步和去同步。

Based on the dynamical model of Hindmarsh-Rose(HR)neurons,the synchronization transition of two chaotic neurons via the neighbor applying feedback control is investigated.The synchronization error and the interspike interval of neurons with the increasing of coupling strength are calculated.The numerical results show that there exists complex synchronization transition in coupled chaotic HR neuron model.The chaotic and periodic discharge of the neu-rons alternately appears when the coupling strength gradually increases.Clustersynchronization,approximate synchronization and complete synchronization alternately appear when the neu-rons achieve the precise synchronization.While the coupling strength is weak,it causes anti-synchronization and the de-synchronization of the neurons.