2018
Distributional Chaos and Dendrites
ROTH, ZuzanaBasic information
Original name
Distributional Chaos and Dendrites
Authors
ROTH, Zuzana
Edition
International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, Singapore, World Scientific Publishing Co. Pte Ltd, 2018, 0218-1274
Other information
Language
English
Type of outcome
Article in a journal
Field of Study
10101 Pure mathematics
Country of publisher
Singapore
Confidentiality degree
is not subject to a state or trade secret
References:
Impact factor
Impact factor: 2.145
Marked to be transferred to RIV
Yes
RIV identification code
RIV/47813059:19610/18:A0000031
Organization unit
Mathematical Institute in Opava
UT WoS
EID Scopus
Keywords in English
Chaos; dendrites; distributional chaos; horseshoes
Tags
International impact, Reviewed
Changed: 3/4/2019 09:26, Mgr. Aleš Ryšavý
Abstract
In the original language
Many definitions of chaos have appeared in the last decades and there is a concerned question if they are equivalent in some more specific spaces. Our focus 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 interval, but distinct in more complicated spaces. Since dendrites have much in common with the interval, we explore whether or not we can distinguish these kinds of chaos already on dendrites. At the end of the paper we will also briefly look at their correlation with other types of chaos.