Mixed-mode synchronization between two inhibitory neurons with post-inhibitory rebound

We study an array of activity rhythms generated by a half-center oscillator (HCO), represented by a pair of reciprocally coupled neurons with post-inhibitory rebounds (PIR). Such coupling induced bursting possesses two time scales, one for fast spiking and another for slow quiescent periods, is shown to exhibit an array of synchronization properties. We discuss several HCO configurations constituted by two endogenous bursters, by tonic-spiking and quiescent neurons, as well as mixed-mode configurations composed of neurons of different type. We demonstrate that burst synchronization can be accompanied by complex, often chaotic, interactions of fast spikes within synchronized bursts. (C) 2015 Elsevier B.V. All rights reserved.

Metadaten
Author details:	Roman Nagornov, Grigory Osipoy, Maxim Komarov, Arkadij Pikovskij ORCiD GND, Andrey Shilnikov
DOI:	https://doi.org/10.1016/j.cnsns.2015.11.024
ISSN:	1007-5704
ISSN:	1878-7274
Title of parent work (English):	Communications in nonlinear science & numerical simulation
Publisher:	Elsevier
Place of publishing:	Amsterdam
Publication type:	Article
Language:	English
Year of first publication:	2016
Publication year:	2016
Release date:	2020/03/22
Tag:	Half-center oscillator; Hodgkin-Huxley model; Post-inhibitory rebound; Synchronization
Volume:	36
Number of pages:	17
First page:	175
Last Page:	191
Funding institution:	Ministry of Education and Science of the Russian Federation [N 02.B.40.21.0003]; Lobachevsky State University of Nizhni Novgorod [N 02.B.40.21.0003]; Russian Science Foundation [14-12-00811]; INFN; Alexander von Humboldt foundation; NSF [DMS-1009591, IOS-1455527]; RFFI [11-01-00001]; RSF at the Lobachevsky University of Nizhny Novgorod [14-41-00044]
Organizational units:	Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie
Peer review:	Referiert