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Chin. Phys. B, 2012, Vol. 21(1): 010203    DOI: 10.1088/1674-1056/21/1/010203
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Synchronization of the minimal models of bursting neurons coupled by delayed chemical or electrical synapses

Nebojša Vasovića), Nikola Burićb)†, Kristina Todorovićc), and Ines Grozdanovića)
a Department of Applied Mathematics, Faculty of Mining and Geology, Belgrade 162, Serbia; b Institute of Physics, University of Beograd PO Box 68, 11080 Beograd-Zemun, Serbia; c Department of Physics and Mathematics, Faculty of Pharmacy, University of Belgrade, Vojvode Stepe 450, Belgrade, Serbia
Abstract  The minimal two-dimensional model of bursting neuronal dynamics is used to study the influence of time-delay on the properties of synchronization of bursting neurons. Generic properties of bursting and dependence of the stability of synchronization on the time-lag and the strength of coupling are described, and compared with the two common types of synaptical coupling, i.e., time-delayed chemical and electrical synapses.
Keywords:  neuronal nursting      minimal model      synchronization  
Received:  13 July 2011      Revised:  15 August 2011      Accepted manuscript online: 
PACS:  02.30.Ks (Delay and functional equations)  
  05.45.Xt (Synchronization; coupled oscillators)  
Fund: Project supported by the Serbian Ministry of Science (Grant Nos. 171017 and 174010).

Cite this article: 

Nebojša Vasović, Nikola Burić, Kristina Todorović, and Ines Grozdanović Synchronization of the minimal models of bursting neurons coupled by delayed chemical or electrical synapses 2012 Chin. Phys. B 21 010203

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