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SLF II, the middle branch, and SLF III, the inferior-most branch, showed species differences in frontal connectivity.
(25) At (a=a_{mathrm{sn}}^), the double singular point appears (in the singular limit (varepsilon =0)) at (y=frac{c}{2} + O(c^{2})), i.e. on the middle branch, and for (a_{h}< a< a_{mathrm{sn}}^) there are two singular points: one unstable node/focus (p_) close to the fold, and a saddle (p_) that is (O(c))-away from the fold, both located on the middle branch.
I also simulate sequences with 4, 12, or 16 taxa, maintaining the divergence point on the middle branch and adding taxa in a balanced fashion to both subtrees.
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For each (Iin[I_{0},I_{1}]), the critical manifold S is cubic shaped and given as a graph ({w=varphi _{I} v)}), i.e. S=S_{a}^ cup F^ cup S_{r} cup F^ cup S_{a}^, with attracting outer branches (S_{a}^{pm}), repelling middle branch (S_{r}), and folds (F^{pm}).
It was shown in [19] that the two-dimensional critical manifold is cubic-shaped in the physiologically relevant domain of the phase space, with two fold-curves F±, attracting outer branches and a middle branch of saddle type.
The road would cross the Middle Branch of the Escanaba River and continued northeasterly into the adjacent Ely Township.
After leaving town, US 45 runs northward parallel to the Middle Branch of the Ontonagon River, and the highway crosses the river near a roadside park south of Rockland.
This figure shows that the initial peaks increase with ρ and that there is a particular ρ (symbolized by ρ*) where the system crosses a boundary surface associated with the unstable steady states (the dotted middle branch of steady states) and gets attracted to the upper branch of stable steady states.
Ligation of the middle branch of trigeminal neurons and the von Frey test were performed as described previously (Krzyzanowska et al., 2011).
The associated threshold manifold is given as the concatenation of the middle branch of the critical manifold and the fast fiber through the lower fold point, shown in Fig. 11.
I-275 crosses the Lower Branch of the River Rouge north of Michigan Avenue and the Middle Branch north of Ford Road It also crosses over the same CSX line a third time.
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Justyna Jupowicz-Kozak
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