【摘要】 在神经起步点记录到加周期分岔过程的生理实验数据 ,在对此分岔过程中位于周期n爆发和周期 (n + 1)爆发之间的混沌的峰峰间期数据检测不稳定的周期轨道时 ,发现从靠近周期n爆发的混沌的峰峰间期数据中 ,可以检测出不稳定的周期n轨道 ;而从靠近周期 (n + 1)爆发的混沌的峰峰间期数据中 ,不仅可以检测出不稳定的周期 (n+ 1)轨道 ,还可以检测出不稳定的周期n轨道 .针对该现象 ,借助于Sherman建议的胰腺 β细胞模型 ,从非线性动力学角度给出了理论解释 .指明了由鞍结分岔和倍周期分岔分别产生第一类阵发和第三类阵发为出现该现象的直接原因 ,阐明了该现象具有一定的普遍性 .从而揭示了通过检测不稳定的周期轨道 ,来识别混沌放电区间在加周期分岔过程中所处的位置的识别机理 ,并重新给出了识别的方法更多还原

【Abstract】 The experimental data of interspike intervals were recorded in a neural pacemaker,and the presence of period-adding bifurcation cascade was demonstrated.By detecting unstable periodic orbits from the chaotic interspike intervals located in between period-n bursting and period-(n+1) bursting,it is found that the unstable period-n orbit can be detected from the chaotic interspike intervals near the period-n bursting,and the unstable period-(n+1) orbit exists in the chaotic interspike intervals near period-(n+1) bursting.Moreover,the unstable period-n orbit also can be detected.For such a phenomenon the theoretical analyses are presented from the point of view of the nonlinear dynamics by way of the pancreatic β-cell model suggested by Sherman.The direct causes of emergence of the phenomenon are shown to be the intermittency of type Ⅰ and that of type Ⅲ,and they are induced by the saddle-node bifurcation and period-doubling bifurcation,respectively.Consequently,the mechanism for identification of chaotic firing interval is revealed.At the same time,the universality of the phenomenon is elucidated to a certain extent.Furthermore,a novel method is put forward for identifying the chaotic firing interval.更多还原