# Dynamical Systems in Neuroscience: The Geometry of Excitability and Bursting

@inproceedings{Izhikevich2006DynamicalSI, title={Dynamical Systems in Neuroscience: The Geometry of Excitability and Bursting}, author={Eugene M. Izhikevich}, year={2006} }

This book explains the relationship of electrophysiology, nonlinear dynamics, and the computational properties of neurons, with each concept presented in terms of both neuroscience and mathematics and illustrated using geometrical intuition. In order to model neuronal behavior or to interpret the results of modeling studies, neuroscientists must call upon methods of nonlinear dynamics. This book offers an introduction to nonlinear dynamical systems theory for researchers and graduate students…

## 2,800 Citations

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The first part of this project is to simulate neuronal dynamics using a quadratic integrate-and-fire model of the neuron that contains four dimensionless parameters (Izhikevich 2014), achieved by tuning the parameters in response to bifurcation analysis of phase portraits.

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