Phaser

Phase plane analysis in R

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: $$ \begin{align} \dot{v}=&2 (w + v - \frac{1}{3}v^3) + I_0
\dot{w}=&\frac{1}{2}(1 - v - w)
\end{align} $$ The FitzHugh-Nagumo system is a simplification of the Hodgkin-Huxley model of spike generation in squid giant axon.