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If there exists a point B of system (1), then we say that the trajectory passing through point B is an order-one periodic solution of system (1) if (f(B =0).
Based on the condition (dot {x}|_{y=0}>0), we can choose a point (M 1-c tau,0 inn M 1-c tau,0 ind its trajectory passing through the point (M_{tau,0)) along a straI}{x line.
ISAPT's development is based on the observed behaviors of pedestrians reported from the literature and simulates the strategies employed by pedestrians for collision avoidance, including changes in speed and trajectory, passing strategies, and distance between objects.
As shown in Figure 3, the x-isoline ({frac{dx}{dt}}=0) of system (1) intersects with x-axis at point (E^ K,0)), and the trajectory passing through point E intersects with impulse set (M_{I}) at point (E^{prime} tau,h)), and then (E^{prime} tau,h)) jumps to the phase set at point (E^((1-c)tau,h+ctau)). 1-c tau
Once the material properties were selected based on the calibration of the numerical model with the empirical subsidence model, the calculated values of stresses, strain, and deformation along the vertical well trajectory passing through a barrier pillar (located at left-hand side of the extracted panel) was used to represent the worst case scenario for ground conditions along the wellbore.
We then estimated the average monthly κ to yield an averaged trajectory from emergence through October, and estimated an additional κ term over the winter to yield a mean trajectory passing through the January and February size data.
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a If the trajectory passes this separatrix, when released from inhibition, the system spikes.
If the singular limit trajectory passes this manifold, the singular limit predicts a spike event.
Subsequently, according to topologically transitive property for chaotic systems, the feedback control force is activated only when the trajectory passes through the neighboring region of the regulated point.
According to topologically transitive property for chaotic systems, the feedback control force is activated only when the trajectory passes through the neighboring region of the regulated point.
While each trajectory passes through only one slit, the wave passes through both; the interference profile that therefore develops in the wave generates a similar pattern in the trajectories guided by the wave.
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