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On Dynamics of Triangular Maps of the Square with Zero Topological Entropy
It is known that, for interval maps, zero topological entropy is equivalent with bounded topological sequence entropy as well as with the non-existence of Li–Yorke scrambled triples. In this paper we answer the que...
Pure mathematics
- 2019 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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Parametric Topological Entropy for Multivalued Maps and Differential Inclusions with Nonautonomous Impulses
equations as well as those on "nonparametric" topological entropy to impulsive differential inclusions. Parametric topological entropy, which is usually called a topological entropy for...
Pure mathematics
- 2023 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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On dynamics of graph maps with zero topological entropy
We explore the dynamics of graph maps with zero topological entropy. It is shown that a continuous map f on a topological graph G has zero topological entropy disjointness conjecture is true for graph maps...
Pure mathematics
- 2017 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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On two notions of fuzzy topological entropy
We explore the notion of fuzzy topological entropy when different definitions entropy. We give a simple proof of the bridge result which states that topological entropy agrees with fuzzy topological
Pure mathematics
- 2023 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
On fuzzy entropy and topological entropy of fuzzy extensions of dynamical systems
The aim of this paper is to establish connections between two entropy notions, namely, between the fuzzy entropy of a fuzzy set, which appeares in fuzzy set theory, and the topological entropy of Zadeh's extensions...
Pure mathematics
- 2017 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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The Topological Entropy of Banach Spaces
We investigate some properties of (universal) Banach spaces of real functions in the context of topological entropy. Among other things, we show that any subspace of C topological entropy. Also, for any t [0,infini...
BA - Obecná matematika
- 2012 •
- Jx •
- Link
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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A generalized definition of topological entropy
entropy of the function. In the case where the space is compact and the function is continuous, the continuity entropy of the map is equal to the usual topological entropy of the map. We show that some of the stan...
Pure mathematics
- 2018 •
- Jost •
- Link
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Jost - Ostatní články v recenzovaných periodicích
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Erratum to: entropy of Turing machines with moving head
We prove that the topological entropy of a Turing machine with moving head is zero.
BA - Obecná matematika
- 2010 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Relationship between li-yorke chaos and positive topological sequence entropy in nonautonomous dynamical systems
We study chaotic properties of uniformly convergent nonautonomous dynamical systems. We show that, contrary to the autonomous systems on the compact interval, positivity of topological sequence entropy and occurrence of Li-Yorke cha...
Pure mathematics
- 2018 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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Topological entropy for impulsive differential equations
A positive topological entropy is examined for impulsive differential equations Nielsen number (which is in difference to topological entropy a homotopy invariant) can be used there effectively for the lower estima...
Pure mathematics
- 2020 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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