The forthcoming R Journal has an interesting article about phaseR: An R Package for Phase Plane Analysis of Autonomous ODE Systems by Michael J. Grayling. The package has some nice functions to analysis one and two dimensional dynamical systems. As an example I use here the FitzHugh-Nagumo system introduced earlier: \[ \begin{aligned} \dot{v}=&2 (w + v - \frac{1}{3}v^3) + I_0 \\\\\\ \dot{w}=&\frac{1}{2}(1 - v - w)\\\\\\ \end{aligned} \] The FitzHugh-Nagumo system is a simplification of the Hodgkin-Huxley model of spike generation in squid giant axon.

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