Search results for: spike-adding

• Wild oscillations in a nonlinear neuron model with resets: (I) Bursting, spike-adding and chaos

  Publication

  • J. Rubin
  • J. Signerska-Rynkowska
  • J. Touboul
  • A. Vidal

  - DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B - Year 2017

  In a series of two papers, we investigate the mechanisms by which complex oscillations are generated in a class of nonlinear dynamical systems with resets modeling the voltage and adaptation of neurons. This first paper presents mathematical analysis showing that the system can support bursts of any period as a function of model parameters, and that these are organized in a period-incrementing structure. In continuous dynamical...

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