In neuroscience, bursting denotes two or more action potentials (spikes) fired by a neuron, followed by a period of quiescence. A burst of two spikes is called a doublet, three spikes - triplet, four - quadruplet, etc.

Most mathematical models of bursting can be written in the singularly perturbed form

x˙=f(x,y)(fast spiking)y˙=μg(x,y)(slow modulation)

where xn is the fast variable that simulates fast spiking of the neuron, and ym is the slow variable that modulates such spiking activity.

A topological classification of bursters relies on the bifurcationsMathworldPlanetmath of the fast subsystem (variable x) when the slow subsystem (variable y) is treated as a parameter.


  • iz Izhikevich E.M. (2007) Dynamical SystemsMathworldPlanetmathPlanetmath in Neuroscience: The Geometry of Excitability and Bursting. The MIT Press.
  • izb Eugene M. Izhikevich (2006) Bursting. Scholarpedia, p.1401 (available online at http://www.scholarpedia.org/article/Bursting).
Title bursting
Canonical name Bursting
Date of creation 2013-03-22 16:28:51
Last modified on 2013-03-22 16:28:51
Owner emi (15656)
Last modified by emi (15656)
Numerical id 7
Author emi (15656)
Entry type Definition
Classification msc 92B20
Classification msc 92C20
Synonym burst