$m$ as a function of $\xi$ for different values of the long range probability $p$ and $N=10,000$, $|J|=10$,. for $P=0.05$ there is no threshold for $\eta$, for $p=0.2$ it is $\eta=0.7$, for $p=0.8$ and $p=1.0$ it is $\eta=0.6$.](sw-bif-eta-m-xi-PI5-o8-N10000-k20-J-10p00-W15p00-p0p05 "fig:"){width="0.45\columnwidth"}   ![\[fig:mix\] (Color online.) Small-world ferro-anti ferro bifurcation diagram (left axis, dots in magenta) and entropy $\eta$ (right axis, continuous curve in green) of the magnetization $m$ as a function of $\xi$ for different values of the long range probability $p$ and $N=10,000$, $|J|=10$,. for $P=0.05$ there is no threshold for $\eta$, for $p=0.2$ it is $\eta=0.7$, for $p=0.8$ and $p=1.0$ it is $\eta=0.6$.](sw-bif-eta-m-xi-PI5-o8-N10000-k20-J-10p00-W15p00-p0p20 "fig:"){width="0.45\columnwidth"}
                                                                                                                                                                                                                                                            $p=0.8$                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     $p=1.0$
   ![\[fig:mix\] (Color online.) Small-world ferro-anti ferro bifurcation diagram (left axis, dots in magenta) and entropy $\eta$ (right axis, continuous curve in green) of the magnetization $m$ as a function of $\xi$ for different values of the long range probability $p$ and $N=10,000$, $|J|=10$,. for $P=0.05$ there is no threshold for $\eta$, for $p=0.2$ it is $\eta=0.7$, for $p=0.8$ and $p=1.0$ it is $\eta=0.6$.](sw-bif-eta-m-xi-PI5-o8-N10000-k20-J-10p00-W15p00-p0p80 "fig:"){width="0.45\columnwidth"}   ![\[fig:mix\] (Color online.) Small-world ferro-anti ferro bifurcation diagram (left axis, dots in magenta) and entropy $\eta$ (right axis, continuous curve in green) of the magnetization $m$ as a function of $\xi$ 