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On Lipschitz Extension of Interval Maps
We study dynamical extensions of Lipschitz interval maps.
BA - Obecná matematika
- 2003 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Asymptotic Behaviour of the Entropy of Interval Maps
We obtain upper estimates on the entropy of interval maps of given modality and Sharkovskii type. Following our results we formulate a conjecture on asymptotic behavior of the entropy of interval maps....
BA - Obecná matematika
- 2009 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Constant slope maps on the extended real line
For a transitive countably piecewise monotone Markov interval map we consider the question of whether there exists a conjugate map of constant slope. The answer varies depending on whether the map is continuous or ...
Pure mathematics
- 2018 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
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Strongly omega-chaotic mappings of the interval
The main aim of this paper is to show that the above mentioned notions of chaos are not equivalent for continuous maps of compact metric spaces, andeven, for continuous maps of the interval they are not "equivalent" when co...
BA - Obecná matematika
- 2002 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Constant slope models for finitely generated maps
We study countably monotone and Markov interval maps. We establish sufficient conditions for uniqueness of a conjugate map of constant slope. We explain how global window perturbation can be used to generate a large class o...
Pure mathematics
- 2018 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
A ?universal? dynamical system generated by a continuous map of the interval
It is shown that there is a continuous map f from the interval I into itself such that any omega-limit set V of any continuous map g of I can be transformed by a homeomorphism from I to I to an omega-limit set W of f....
BA - Obecná matematika
- 2000 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Stability of the distribution function for piecewise monotonic maps on the interval
For piecewise monotonic maps the notion of approximating distribution function is introduced. It is shown that for a mixing basic set it coincides with the usual distribution function. Moreover, it is proved that the approximating distributi...
Pure mathematics
- 2018 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
Semiconjugacy to a Map of a Constant Slope
It is well known that any continuous piecewise monotone interval map f with positive topological entropy h top (f) is semiconjugate to some piecewise affine map with constant slope e h top (f) . We prove this result for a c...
BA - Obecná matematika
- 2012 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
On distributional spectrum of piecewise monotonic maps
We study a certain class of piecewise monotonic maps of an interval. These maps are strictly monotone on finite interval partitions, satisfy the Markov condition, and have generator property. We show that for a fun...
Pure mathematics
- 2023 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
Spaces of d.c. Mappings on Arbitrary Intervals
M. Zippin (2000) obtained results on the structure of the Banach space of all d.c. functions on [0,1]. We give a generalization to the case of the space of all d.c. Banach space valued mappings. The case of d.c. mappings on an unbou...
BA - Obecná matematika
- 2016 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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