basin of attraction

basin of attraction

[′bās·ən əv ə′trak·shən]
(physics)
The collection of all possible initial conditions of a dynamical system for which the trajectories representing that system in phase space will converge to a particular attractor.
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Shaikh Mohammed's commitment and care for the Media sector was the direct cause of the success of the UAE in anchoring a thriving and growing industry that constitute of distinguished national institutions that have left their marks on the gulf and Arab media landscapes as well as a number of media free zones that have developed as destinations for Arab and foreign media and a basin of attraction for the largest regional media organisations that have found a healthy environment provided by the UAE.
3] if the initial size of the two populations is on the basin of attraction of [E.
Thus, if the initial population size is on the basin of attraction of [E.
Similarly, if the initial population size of both x and y is on the basin of attraction of the stable equilibrium point [E.
32] separates the basin of attractions of the two stable equilibria [E.
The opening of the Welland Canal pushed the system into the basin of attraction of this second equilibrium point, but it was some time before the population trajectories actually made their way over to the new equilibrium point.
The basin of attraction (referred to hereafter as simply the basin) is the collection of points such that, when the system is initiated at any of them, it winds up at the associated attractor.
Thus the trajectories that were formerly members of the strange attractor suddenly become part of the basin, and, in doing so, incorporate all of the space that was previously part of that attractor into the new basin of attraction.
In 1992, Alexander and his colleagues found a theoretical example in which the set of initial conditions, or basin of attraction, leading to one attractor is riddled with points corresponding to initial conditions leading to another outcome.
Hence, instead of having a single basin of attraction, this dynamical system has three thoroughly intermingled basins.
Shaikh Mohammed's commitment and care for the Media sector was the direct cause of the success of UAE in anchoring a thriving and growing industry that constitute of distinguished national institutions that have left their marks on the gulf and Arab media landscapes as well as a number of media free zones that have developed as destinations for Arab and foreign media and a basin of attraction for the largest regional media organizations that have found a healthy environment provided by the UAE.