title: Stability, bifurcations, and dynamics of global variables of a system of bursting neurons.
abstract: An approximate mean field model of an ensemble of delayed coupled stochastic Hindmarsh-Rose bursting neurons is constructed and analyzed. Bifurcation analysis of the approximate system is performed using numerical continuation. It is demonstrated that the stability domains in the parameter space of the large exact systems are correctly estimated using the much simpler approximate model.
authors.affiliation: Faculty of Physics, University of Belgrade, P.O. Box 44, 11001 Belgrade, Serbia.
authors.forename: Igor
authors.initials: I
authors.lastname: Franović
authors.forename: Kristina
authors.initials: K
authors.lastname: Todorović
authors.forename: Nebojsa
authors.initials: N
authors.lastname: Vasović
authors.forename: Nikola
authors.initials: N
authors.lastname: Burić
mesh_terms: D000200:Action Potentials / Q000502:physiology*; D008959:Models, Neurological; D009474:Neurons / Q000502:physiology*; D009716:Numerical Analysis, Computer-Assisted