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Updated: Jul 8, 2026

Generation of Local CA1 γ Oscillations by Tetanic Stimulation
Published on: August 14, 2015
Chaotic oscillations in a map-based model of neural activity
M Courbage1, V I Nekorkin, L V Vdovin
1Laboratoire Matière et Systèmes Complexes, UMR 7057, CNRS et Université Paris 7-Denis Diderot, Batiment Condorcet 75205 Paris Cedex 13, France.
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.
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