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Triangular maps with all periods and no infinite omega-limit set containing periodic points
and such that no infinite ?-limit set of F contains a periodic point. We also show that there is a triangular map F oftype $2^infty$ monotone on the fibres such that any recurrent point of F is uniformly recur...
BA - Obecná matematika
- 2005 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Recurrence in non-autonomous dynamical systems
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.We consider a sequence of continuous maps on a comp...
Pure mathematics
- 2019 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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Words with unbounded periodicity complexity
If an infinite non-periodic word is uniformly recurrent or is of bounded repetition, then the limit of its periodicity complexity is infinity. Moreover, there are uniformly recurrent words with the periodicity comp...
BA - Obecná matematika
- 2014 •
- Jx •
- Link
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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When are all closed subsets recurrent?
recurrence between an invertible topological dynamical system (t.d.s.) (X,T-equicontinuous, distal and uniformly rigid t.d.s. and a weakly mixing t.d.s. which induces dense periodic points on the hyperspace K(X) but itself...
Pure mathematics
- 2017 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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Chaotic behaviour of uniformly convergent non-autonomous systems with randomly perturbed trajectories
uniformly toa map f. We give conditions, under which a recurrent point of a (standard) autonomous discrete dynamical system generated by the limit function f is also recurrent......
BA - Obecná matematika
- 2015 •
- Jx •
- Link
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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Minimal sets of functions with connected G-delta graph
$, anypoint in $M$ is uniformly recurrent, and no proper subset of $M$ has...
BA - Obecná matematika
- 2007 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
On limit points of subsequences of uniformly distributed sequences
Given a subseqence of a uniformly distributed sequence, relations between asymptotic densities of the sets of its indices and Lebesgue measure of the set of all its limit points are studied in the paper....
BA - Obecná matematika
- 2014 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Infinite words with finite defect
In this paper, we provide a new characterization of uniformly recurrent words with finite defect based on a relation between the palindromic and factor complexity. Furthermore, we introduce a class of morphisms Pret closed under com...
BA - Obecná matematika
- 2011 •
- Jx •
- Link
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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Chaos, transitivity and recurrence
In [Wang, L.; Chu Z.; Liao G., Topology Appl. 138 (2004), no. 1-3, 97–107.] it was stated that there is an uncountable subset T of the shift space S such that T ⊂ R(s) UR(s) (where R(·) denotes the set of recurrent poi...
BA - Obecná matematika
- 2006 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
NON-UNIFORMLY CONTINUOUS NEAREST POINT MAPS
We construct a Banach space satisfying that the nearest point map (also called proximity mapping or metric projection) onto any non-singleton compact and convex subset is continuous but not uniformly continuous. The space we constru...
Pure mathematics
- 2024 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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