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- W1540049517 abstract "We study recurrence properties for the nonautonomous discrete system given by a sequence $(f_n)_{n=1}^infty$ of continuous selfmaps on a compact metric space. In particular, our attention is paid to the case when the sequence $(f_n)_{n=1}^infty$ converges uniformly to a map $f$ or forms an equicontinuous family. In the first case we investigate the structure and behavior of an $omega$-limit set of $(f_n)$ by a dynamical property of the limit map $f$. We also present some examples of $(f_n)$ and $f$ on the closed interval: (a) $omega(x, (f_n)) smallsetminus Omega(f)not=emptyset$ for some point $x$; or (b) the set of periodic points of $f$ is closed and for some point $x$, $omega(x, (f_n))$ is infinite. In the second case we create a perturbation of $(f_n)$ whose nonwandering set has small measure." @default.
- W1540049517 created "2016-06-24" @default.
- W1540049517 creator A5057476470 @default.
- W1540049517 date "2013-11-01" @default.
- W1540049517 modified "2023-09-30" @default.
- W1540049517 title "Recurrence properties of a class of nonautonomous discrete systems" @default.
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- W1540049517 doi "https://doi.org/10.36045/bbms/1382448189" @default.
- W1540049517 hasPublicationYear "2013" @default.
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