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MATLAB for Neuroscientists, 2nd Edition by Nicholas G. Hatsopoulos, Adam Seth Dickey, Tanya I. Baker, Marc D. Benayoun, Michael E. Lusignan, Pascal Wallisch

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Chapter 34

Exploring the Wilson-Cowan Equations

In this chapter, we will apply phase plane analysis to a model of two interacting neuronal populations, an excitatory and an inhibitory population known as the Wilson-Cowan (W-C) equations. Rather than relying on the pplane7 program, we will apply the knowledge we possess to write our own rudimentary phase plane code for nonlinear systems.

Keywords

Wilson-Cowan equations; sigmoidal functions; hyperbolic tangent function; error function; Heaviside step function

34.1 Goal of This Chapter

In this chapter, we will continue to apply phase plane analysis to a model of two interacting neuronal populations, an excitatory and an inhibitory population known as the Wilson-Cowan (W-C) equations. Rather than relying ...

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