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From her point of view, this Newtonian conception of body is not inherently problematic; the problem arises when some Newtonians interpret the theory of universal gravity as proving that bodies have a property of attraction or attractive power endowed by God (Châtelet 1742: ch. 16, §385).
As the hb border position is well encoded by the intersection between the initial Hb profile and corresponding attraction basin boundaries, the stability of hb border predicted by the model can be explained by inspecting the geometrical properties of these attraction basins.
This property of magnetic attraction led to the development of the magnetic compass.
In [11], the authors discuss the Wada property of basins of attraction.
We give a plane graph to characterize the intertwining property of basins of attraction of the dynamical systems.
Some properties of the domain of attraction for the delta operator system are shown by vector fields analysis.
We have not discussed the robustness of attraction properties of RHCs - mere existence of a RHC is not enough to guarantee that it will be an attractor, but we mention that as attraction properties are determined by open conditions on eigenvalues of the saddles (e.g. [1, 24, 35]), continuity of variation of the eigenvalues will guarantee that attractivity is also a robust property.
Recently, several authors discussed the property of intertwined basins of attraction (see [5 7, 14, 15]).
We establish the existence, uniqueness and attraction properties of an ergodic invariant measure for the Boussinesq equations in the presence of a degenerate stochastic forcing acting only in the temperature equation and only at the largest spatial scales.
Theorem 1 does not consider any dynamical stability (attraction) properties of the heteroclinic cycles. 5.
Theorem 1 does not consider any dynamical stability (attraction) properties of the heteroclinic cycles.
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