The first is an extended version of the normal form of a folded node [34, 47], where a fast variable with a stable fast direction is added.
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This scan pattern can be described using a transverse fast direction vector d f a s t corresponding to the direction of the B-scans and an orthogonal slow direction vector d s l o w.
Here, we introduce and consider the extended vector field given by textstylebegin{cases} dot{x} = varepsilon (frac{1}{2} mu y - (mu +1) z ), dot{y} = varepsilon, dot{z} = x+ z^{2}, dot{w} = z-w, end{cases} (11) which includes a second fast variable w representing a stable fast direction.
This means that the associated slow manifolds have a one-dimensional repelling fast component [41], and orbit segments that trace these saddle-unstable slow manifolds can leave it only along a single fast direction.
Furthermore, our Rayleigh and Love wave group velocity data at periods of around 20 s show evidence for azimuthal anisotropy with a NW-SE fast direction.
We have observed that when HIF-1 α was overexpressed in adult rat muscle a shift in the fast direction was observed both in the soleus and the EDL.
The volume is acquired by linearly scanning the OCT beam along the fast direction d f a s t while acquiring A-scans to generate 2D cross-sectional scans or B-scans.
Instead, orbit segments that come close to S 1 r during the spike-generation process flow towards the attracting equilibrium s 1 before a lift-off in the fast direction.
In order to get the different components of image faster and more accurate, a fast alternating direction method (FADM) is used to train the dictionary.
