منابع مشابه
On invariant sets topology
In this paper, we introduce and study a new topology related to a self mapping on a nonempty set.Let X be a nonempty set and let f be a self mapping on X. Then the set of all invariant subsets ofX related to f, i.e. f := fA X : f(A) Ag P(X) is a topology on X. Among other things,we nd the smallest open sets contains a point x 2 X. Moreover, we find the relations between fand To f . For insta...
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One step towards understanding the structure of a flow involves describing the behavior of orbits near selected invariant sets ; particularly that behavior common to all nearby flows. The invariant set chosen is often an isolated invariant set, which means it is the largest invariant set in some (closed) neighborhood of itself, (cf. [1]) A typical example is a hyperbolic (elementary) rest point...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 1987
ISSN: 0022-247X
DOI: 10.1016/0022-247x(87)90223-x