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ABSTRACT We consider a sequence of continuous maps on a compact metric space X uniformly converging to a function f. This sequence forms a non-autonomous discrete dynamical system. In such… Click to show full abstract
ABSTRACT We consider a sequence of continuous maps on a compact metric space X uniformly converging to a function f. This sequence forms a non-autonomous discrete dynamical system. In such case, the set of omega-limit points is invariant with respect to the limit function f. Here we give negative answer to questions whether the sets of recurrent points and non-wandering points are also invariant. We also discuss the relation of the set of recurrent points of and its limit function f.
Keywords:
autonomous dynamical;
recurrence non;
non autonomous;
dynamical systems
Journal Title: Journal of Difference Equations and Applications
Year Published: 2019
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Journal Title: Journal of Difference Equations and Applications
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!