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Surprisingly, railway edges did not seem to play an additional connective function for invasive species, the presence of which being strongly related to the urbanisation intensity and not influenced by spatial breaks along railways.
On the other hand, spatial breaks in the disease occurrence seem to correspond roughly to the spatial distances between houses as determined with aerial photographs.
Spatial breaks seem to appear at the approximate distances 20 25 m, 45 50 m, and 80 85 m, showing three different risk levels.
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Therefore, we compared floristic dissimilarities between site pairs that were either connected or separated by a railway spatial break (overpass or station).
Turing instability occurs when spatial symmetry breaking takes place and results in the change from spatially homogeneous states to Turing patterns.
Turing instability induces spatial symmetry breaking on these states.
Second, what are the results when spatial symmetry breaking occurs on the homogeneous chaotic oscillating states on the route to chaos.
Depending on the geometry, these structures may include both a bistability resulting from a spatial symmetry breaking (SB), and a quasi-periodic vortex shedding.
The controlled wire undergoes spatial symmetry-breaking and different sections of it oscillate out of phase (or in antiphase) in order to maintain the set-point.
For predator prey systems, self-organization of ordered patterns, resulting from spatial symmetry breaking induced by Turing instability, also plays a key role in revealing and explaining regular population distribution involved in predation relationship.
Particularly, Hopf Turing instability induces spatial symmetry breaking at homogeneous oscillating states and leads to the formation of oscillatory patterns, where the dynamics of predator and prey is always varying spatially and temporally [12] and [31].
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