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In [7], Shen found that the condition (L) could be replaced with x ( t ) being defined on [ 0, + ∞ ). Then the set A of all the x according to x ( t ) is called the attraction basin of x 0, which means x will be attracted to x 0 as t → + ∞. Thus, Shen presented Theorem 1.2. Lemma 1.1 [8].
We first study the model and characterise the attraction basin associated to the normal operating mode.
Finally, we argue that the random search algorithm also provides qualitative information about the attraction basin of each structure in the energy landscape.
In the second step, we estimate the size of this attraction basin by using a simplified criterion that turns out to be a good approximation.
Finally, an interesting strategy is proposed to extend the frequency band of isolation by controlling the initial value within the attraction basin of a small amplitude attractor, which can be utilized for an effective isolation.
This can be understood intuitively, as the stable manifold of a point on ∂R separates the attraction basin of the homogeneous solution for which S shrinks until S = 0 and the attraction basin of rotating spirals with growing S → ∞.
Similar(36)
The hb border formation mechanisms were described in terms of attracting sets and their attraction basins calculated in the nuclei surrounding the border position.
The canalization mechanisms described in terms of attractors and attraction basins generally depend on the structure of the model that predicts these attracting states.
Spiral and fragmented attraction basins of solutions in a chosen two-dimensional subspace can be observed.
The secondary flutter responses are asymmetric with respect to the initial plane of the panel, and the structure of their attraction basins is rather complicated.
Then we relate the generic distribution of local minima attraction basins to the number of bacterial mutations and we discuss the comparison with experimental results.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com