Skip to main content
We gratefully acknowledge support from the Simons Foundation, member institutions, and all contributors. Donate
arXiv logo
Cornell University Logo

Mathematics > Dynamical Systems

arXiv:1808.01569 (math)
[Submitted on 5 Aug 2018 (v1), last revised 23 Feb 2021 (this version, v3)]

Title:On Li--Yorke chaotic transformation groups modulo an ideal

Authors:Mehrnaz Pourattar, Fatemah Ayatollah Zadeh Shirazi
View PDF
Abstract:In the following text we introduce the notion of chaoticity modulo an ideal in the sense of Li-Yorke in topological transformation semigroups and bring some of its elementary properties. We continue our study by characterizing a class of abelian infinite Li-Yorke chaotic Fort transformation groups and show all of the elements of the above class is co-decomposable to non-Li-Yorke chaotic transformation groups.
Comments: 14 pages
Subjects: Dynamical Systems (math.DS)
MSC classes: 5H15, 54H20
Cite as: arXiv:1808.01569 [math.DS]
  (or arXiv:1808.01569v3 [math.DS] for this version)
  https://doi.org/10.48550/arXiv.1808.01569
Journal reference: Boletin de Matematicas, 2020 (Vol 27, Num 1), 25-42

Submission history

From: Fatemah Ayatollah Zadeh Shirazi [view email]
[v1] Sun, 5 Aug 2018 07:04:09 UTC (11 KB)
[v2] Sat, 14 Nov 2020 11:35:33 UTC (12 KB)
[v3] Tue, 23 Feb 2021 15:10:45 UTC (13 KB)
Full-text links:

Access Paper:

  • View PDF
  • TeX Source
  • Other Formats
view license
Current browse context:
math.DS
< prev   |   next >
new | recent | 2018-08
Change to browse by:
math

References & Citations

export BibTeX citation

Bookmark

BibSonomy logo Reddit logo

Bibliographic and Citation Tools

Bibliographic Explorer (What is the Explorer?)
Connected Papers (What is Connected Papers?)
Litmaps (What is Litmaps?)
scite Smart Citations (What are Smart Citations?)

Code, Data and Media Associated with this Article

alphaXiv (What is alphaXiv?)
CatalyzeX Code Finder for Papers (What is CatalyzeX?)
DagsHub (What is DagsHub?)
Gotit.pub (What is GotitPub?)
Hugging Face (What is Huggingface?)
Papers with Code (What is Papers with Code?)
ScienceCast (What is ScienceCast?)

Demos

Replicate (What is Replicate?)
Hugging Face Spaces (What is Spaces?)
TXYZ.AI (What is TXYZ.AI?)

Recommenders and Search Tools

Influence Flower (What are Influence Flowers?)
CORE Recommender (What is CORE?)

arXivLabs: experimental projects with community collaborators

arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website.

Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them.

Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs.

Which authors of this paper are endorsers? | Disable MathJax (What is MathJax?)