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Relations between distributional, Li?Yorke and ? chaos
The forcing relations between notions of distributional, Li?Yorke and ? chaos were studied by many authors. In this paper we summarize all known connections between these three different types of chaos and fulfill the resul...
BA - Obecná matematika
- 2006 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Distributional Chaos and Dendrites
will be on distributional chaos, first defined in 1994 and later subdivided into three major types (and even more subtypes). These versions of chaos are equivalent on a closed intervalMany definitions of chaos hav...
Pure mathematics
- 2018 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
Chaos on hyperspaces
distributional chaos, Li-Yorke chaos, omega-chaos, Devaney chaos, topological chaosLet f be a continuous self-map of a compact metric space X. The transformation f induces in a natural way a self...
BA - Obecná matematika
- 2009 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
The three versions of distributional chaos
The notion of distributional chaos was introduced by Schweizer and Smítal [Trans. Amer. Math. Soc. 344 (1994) 737] for continuous maps of the interval. However nonequivalentversions of distributional chaos, DC1-DC3...
BA - Obecná matematika
- 2005 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Distributional chaos on compact metric spaces via specification properties
It is shown that a continuous function on a compact metric space exhibits distributional chaos if the function has either a weaker form of the specification property or the generalized specification property....
BA - Obecná matematika
- 2000 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
On the Weakest Version of Distributional Chaos
distributional chaos of type 3. We show that in a general compact metric space, distributional chaos of type 3, denoted DC3, even when assuming the existence of an uncountable scrambled set, is a very weak form of...
BA - Obecná matematika
- 2016 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Strong and weak distributional chaos
The original notion of distributional chaos introduced in 1994 by Schweizer and Smital for continuous maps of the interval was later generalized to arbitrary compact metric space, and three types, DC1-DC3, are now considered. Howeve...
BA - Obecná matematika
- 2013 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Distributional (and other) chaos and its measurement
After surveying several earlier definitions of lqlq chaosrqrq ,this paper is devoted to presenting the recently introduced notion of {it distributional chaos} to a non-specialist audience. It is shown that the theory of distribu...
BA - Obecná matematika
- 2001 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Distributional chaos for linear operators
We characterize distributional chaos for linear operators on Frechet spaces in terms of a computable condition (DCC), and also as the existence of distributionally it-regular vectors. A sufficient condition for the existence of dens...
BA - Obecná matematika
- 2013 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Strange distributionally chaotic triangular maps II
The notion of distributional chaos was introduced by Schweizer and Smítal [Measures of chaos and a spectral decomposition of dynamical systems on the interval of distributional chaos, DC1?DC3, can be consi...
BA - Obecná matematika
- 2006 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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