Recurrence in non-autonomous dynamical systems

@article{32840,
   author = {Cavro, Jakub},
   article_location = {Abingdon, England},
   article_number = {9-10},
   doi = {http://dx.doi.org/10.1080/10236198.2019.1651849},
   keywords = {Non-autonomous dynamical system; recurrent points; non-wandering points},
   language = {eng},
   issn = {1023-6198},
   journal = {Journal of Difference Equations and Applications},
   title = {Recurrence in non-autonomous dynamical systems},
   url = {https://www.tandfonline.com/doi/abs/10.1080/10236198.2019.1651849?journalCode=gdea20},
   volume = {25},
   year = {2019}
}

TY  - JOUR
ID  - 32840
AU  - Cavro, Jakub
PY  - 2019
TI  - Recurrence in non-autonomous dynamical systems
JF  - Journal of Difference Equations and Applications
VL  - 25
IS  - 9-10
SP  - 1404-1411
EP  - 1404-1411
PB  - Taylor and Francis Ltd.
SN  - 10236198
KW  - Non-autonomous dynamical system
KW  - recurrent points
KW  - non-wandering points
UR  - https://www.tandfonline.com/doi/abs/10.1080/10236198.2019.1651849?journalCode=gdea20
L2  - https://www.tandfonline.com/doi/abs/10.1080/10236198.2019.1651849?journalCode=gdea20
N2  - 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.
ER  - 

CAVRO, Jakub. Recurrence in non-autonomous dynamical systems. \textit{Journal of Difference Equations and Applications}. Abingdon, England: Taylor and Francis Ltd., 2019, roč.~25, 9-10, s.~1404-1411. ISSN~1023-6198. Dostupné z: https://dx.doi.org/10.1080/10236198.2019.1651849.