Cite as: Commun Nonlinear Sci Numer Simulat 36(2016)175–191

http://dx.doi.org/10.1016/j.cnsns.2015.11.024 1007-5704    2015 Elsevier B.V. All right sreserved.

Roman Nagornov^a,∗, Grigory Osipov^a, Maxim Komarov^a,b,c, Arkady Pikovsky^b, Andrey Shilnikov^a,d

^{【Translated by Song Jian】}

^aInstitute for Information Technologies, Mathematics and Mechanics, Nizhni Novgorod State University, Gagarin Av. 23, 606950 Nizhni Novgorod, Russia

^bDepartment of Physics and Astronomy, University of Potsdam, Karl-Liebknecht-Str 24/25, Potsdam, Germany

^cUniversity of California, Riverside, 900 University Ave., Riverside, CA 92521, USA

^dNeuroscience Institute and Department of Mathematics and Statistics, Georgia State University, 100 Piedmont Str., Atlanta, GA 30303, USA

(Received 17 May 2015; Revised 4 November 2015; Accepted 28 November 2015)

ABSTRACT

我们研究了由半中心振荡器(HCO)产生的一系列活动节律，由一对相互耦合的具有抑制性后反弹(PIR)的神经元代表。这种耦合诱发的爆炸具有两个时间尺度，一个用于快速尖峰周期，另一个用于缓慢的静止周期，并表现出一系列的同步特性。我们讨论了由两个内源性迸发体、强直尖峰和静止神经元组成的几种HCO构型，以及由不同类型神经元组成的混合模式构型。我们证明了迸发同步可以伴随着复杂的，通常是混乱的，在同步迸发内的快速尖峰的相互作用。