conditions by considering two limiting cases. We first consider the case $g_{\perp}(\psi)=0$, $g_{\parallel}>0$, as assumed by Grollier [ *et. al*]{} [@18] in the analysis of their data. In Fig. 4 we plot the regions of P and AP stability deduced from Eqs. (\[F0-2\]),(\[F0-2AP\])-(\[F0-2AP-approx\]), in the ($v$,$h_{\rm ext}$)-plane. Grollier [*et al.*]{} plot current instead of bias but this should not change the form of the figure. Theirs is rather more complicated, owing to a less transparent stability analysis with unnecessary approximation. The only approximations made above, to obtain Eqs. (\[stab2AP-approx\]) and(\[F0-2AP-approx\]), can easily be removed, which results in the critical field lines $h_{\rm
  ext}=\pm1$ acquiring a very slight curvature given by $h_{\rm
  ext}\approx 1+[vg_{\parallel}(\pi)]^2/h_{\rm p}$ and $h_{\rm
  ext}\approx -1-[vg_{\parallel}(0)]^2/h_{\rm p}$. The critical biases in the figure are give by $$\begin{aligned}
\label{crbias}
v_{{\rm AP}\rightarrow{\rm P}}&=&\gamma \left[1+\frac12 h_{\rm p}-h_{\rm
  ext}\right]/g_{\parallel}(\pi)\nonumber\\
v_{{\rm P}\rightarrow{\rm AP}}&=&-\gamma \left[1+\frac12 h_{\rm p}+h_{\rm
  ext}\right]/g_{\parallel}(0).\end{aligned}$$ A downward slope from left to right of the corresponding lines in Fig. \[fig4\] is not shown there. Since the damping parameter $\gamma$ is small ($\gamma\approx 0.01$) this downward slope of the critical bias lines is also small. From Fig. \[fig4\] we can deduce the behaviour of resistance versus bias in the external field regimes $|h_{\rm 