Article ID Journal Published Year Pages File Type
5774794 Journal of Mathematical Analysis and Applications 2017 14 Pages PDF
Abstract
In this article we consider Lyapunov stability of orbits of self-maps on metric spaces. The main interest is posed on the relationship between past stability and expansiveness. It is shown that an expansive map with past stable orbits must be expanding. Moreover, when there are not past stable orbits, then every point has a future stable set of large diameter.
Related Topics
Physical Sciences and Engineering Mathematics Analysis
Authors
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