title: Chaotic oscillations in a map-based model of neural activity.
abstract: We propose a discrete time dynamical system (a map) as a phenomenological model of excitable and spiking-bursting neurons. The model is a discontinuous two-dimensional map. We find conditions under which this map has an invariant region on the phase plane, containing a chaotic attractor. This attractor creates chaotic spiking-bursting oscillations of the model. We also show various regimes of other neural activities (subthreshold oscillations, phasic spiking, etc.) derived from the proposed model.
authors.affiliation: Laboratoire Matière et Systèmes Complexes, UMR 7057, CNRS et Université Paris 7-Denis Diderot, Batiment Condorcet 75205 Paris Cedex 13, France.
authors.forename: M
authors.initials: M
authors.lastname: Courbage
authors.forename: V I
authors.initials: VI
authors.lastname: Nekorkin
authors.forename: L V
authors.initials: LV
authors.lastname: Vdovin
mesh_terms: D000465:Algorithms; D001703:Biophysics / Q000379:methods; D003198:Computer Simulation; D006801:Humans; D008959:Models, Neurological; D015233:Models, Statistical; D008962:Models, Theoretical; D009415:Nerve Net; D009474:Neurons / Q000473:pathology*; D017711:Nonlinear Dynamics; D009991:Oscillometry / Q000379:methods*