Exact(5)
Pattern-based regionalization – spatial classification of an image into sub-regions characterized by relatively stationary patterns of pixel values – is of significant interest for conservation, planing, as well as for academic research.
Motivated by a series of pioneering works such as [9, 10, 16], we are interested in the instability induced by cross-diffusion and the stationary patterns of strongly coupled model (1.1).
Note that the western half of the analysis region is dominated by nearly stationary patterns of ∂ w/∂ z by the synoptic disturbances and the mountain waves, whereas the eastern half is dominated by the effect of vertically propagating gravity waves.
The latter authors used various tunnels, the floor of which was lined with stationary patterns of various kinds, such as 2-D patterns providing abundant ventral optic flow cues, axial patterns providing only a few ventral optic flow cues and a homogeneous pattern providing hardly any optic flow cues.
In previous studies on honeybees [20], [21], various tunnels have been used, the floors of which were lined with stationary patterns of various kinds, such as 2-D patterns providing strong ventral optic flow cues, axial patterns providing weak ventral optic flow cues or a homogeneous pattern providing hardly any optic flow cues.
Similar(55)
It is shown that the first mechanism results in a stationary pattern of vibration, which would not radiate any sound.
The stationary pattern of gene expression and activity observed in this case is in agreement with in vivo results (see Figure S3; see also Movie S2).
We then tested whether after the implementation of this new property, refractoriness in boundary cells to Wg activity, our modeling approach succeeds in reproducing the late stationary pattern of gene expression and activity observed in vivo.
We provide evidence below for extremely complex non-stationary patterns of nucleotide substitution across branches and mt genome regions, and have previously identified asymmetric substitution gradients in mt genomes [ 4] that may vary among species (e.g., primates [ 3]).
In this section, we shall use the Leray-Schauder degree theory to develop a general setting to establish the existence of stationary patterns for system (1.1).
This was entirely expected, although the precise shape of the resulting stationary pattern is of course hard to predict without simulation.
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