12.07.2015 Views

Dynamical Systems in Neuroscience:

Dynamical Systems in Neuroscience:

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Simple Models 291Figure 8.9:neuronfamily of modelsx=f 1 (x) x=f 2 (x) x=f 3 (x) x=f 4 (x)h 1h 2 h 3 h4y=g(y)canonicalmodelFigure 8.10: <strong>Dynamical</strong> system ẏ = g(y) is a canonical model for the family{f 1 , f 2 , f 3 , f 4 } of neural models ẋ = f(x) because each such model can be transformed<strong>in</strong>to the form ẏ = g(y) by the piece-wise cont<strong>in</strong>uous change of variables h i .

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