Journal
CHAOS
Volume 17, Issue 4, Pages -Publisher
AMER INST PHYSICS
DOI: 10.1063/1.2795435
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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. (c) 2007 American Institute of Physics.
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