to jump at an intermediate height. We choose the maximum value of the $y$-coordinate to approximately parametrize the length of the canards. This parametrization heavily favors trajectories jumping left (from $S^r_{{ \varepsilon}}$ to $S^{a-}_{{ \varepsilon}}$) rather than right (from $S^r_{{ \varepsilon}}$ to $S^{a+}_{{ \varepsilon}}$), since trajectories jumping left can only return to $\Sigma_0$ by first following $S^{a-}_{{ \varepsilon}}$ to a maximal height, and then jumping from $L_{-2/3}$ to $S^{a+}_{{ \varepsilon}}$. This asymmetry is useful: in Figure \[fig:z0\], $S^r_{{ \varepsilon}}$ serves as a boundary between the (apparently discontinuous) blue and yellow regions, clearly demarcating those trajectories which turn right rather than left before returning to $\Sigma_0$. Summarizing, $\partial B_0$ and $S^r_{{ \varepsilon}}$ partition this section according to the behavior of orbits containing canards.

\(a) ![\[fig:sao\] (a) Two phase space trajectories beginning and ending on the section $\{z = 0\}$ with stopping condition $\dot{z} < 0$ and (b) the normalized time series of their normalized $y$-coordinates of each trajectory. Initial conditions: blue, $(x,y,z) = (0.000553, 0.000201, 0)$; red, $(x,y,z) = (0.000553, 0.003065, 0)$. Parameter set: $\nu \approx 0.00870134$, $a = 0.01$, $b = -1$, $c = 1$.](5apng.png "fig:"){width="45.00000%"}\
(b) ![\[fig:sao\] (a) Two phase space trajectories beginning and ending on the section $\{z 