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:1512.08868 (math)
[Submitted on 30 Dec 2015 (v1), last revised 19 Jan 2016 (this version, v3)]

Title:Dynamics of Nonautonomous Discrete Dynamical Systems

Authors:Puneet Sharma, Manish Raghav
View PDF
Abstract:In this paper we study the dynamics of a general non-autonomous dynamical system generated by a family of continuous self maps on a compact space $X$. We derive necessary and sufficient conditions for the system to exhibit complex dynamical behavior. In the process we discuss properties like transitivity, weakly mixing, topologically mixing, minimality, sensitivity, topological entropy and Li-Yorke chaoticity for the non-autonomous system. We also give examples to prove that the dynamical behavior of the non-autonomous system in general cannot be characterized in terms of the dynamical behavior of its generating functions.
Subjects: Dynamical Systems (math.DS)
MSC classes: 37B55, 54H20
Cite as: arXiv:1512.08868 [math.DS]
  (or arXiv:1512.08868v3 [math.DS] for this version)
  https://doi.org/10.48550/arXiv.1512.08868

Submission history

From: Puneet Sharma [view email]
[v1] Wed, 30 Dec 2015 07:03:45 UTC (12 KB)
[v2] Mon, 4 Jan 2016 17:10:23 UTC (11 KB)
[v3] Tue, 19 Jan 2016 04:14:36 UTC (11 KB)
Full-text links:

Access Paper:

view license
Current browse context:
math.DS
< prev   |   next >
new | recent | 2015-12
Change to browse by:
math

References & Citations

1 blog link

(what is this?)
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?)