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

Nonlinear Sciences > Chaotic Dynamics

arXiv:2204.09392 (nlin)
[Submitted on 20 Apr 2022 (v1), last revised 24 Jun 2022 (this version, v2)]

Title:Suppression of Quasiperiodicity in Circle Maps with Quenched Disorder

Authors:David Müller-Bender, Johann Luca Kastner, Günter Radons
View PDF
Abstract:We show that introducing quenched disorder into a circle map leads to the suppression of quasiperiodic behavior in the limit of large system sizes. Specifically, for most parameters the fraction of disorder realizations showing quasiperiodicity decreases with the system size and eventually vanishes in the limit of infinite size, where almost all realizations show mode-locking. Consequently, in this limit, and in strong contrast to standard circle maps, almost the whole parameter space corresponding to invertible dynamics consists of Arnold tongues.
Comments: 7 pages, 4 figures; minor changes due to review process
Subjects: Chaotic Dynamics (nlin.CD); Disordered Systems and Neural Networks (cond-mat.dis-nn); Dynamical Systems (math.DS)
MSC classes: 37E10, 37H15, 82C44
Cite as: arXiv:2204.09392 [nlin.CD]
  (or arXiv:2204.09392v2 [nlin.CD] for this version)
  https://doi.org/10.48550/arXiv.2204.09392
Journal reference: Phys. Rev. E 106, L012202 (2022)
Related DOI: https://doi.org/10.1103/PhysRevE.106.L012202

Submission history

From: David Müller-Bender [view email]
[v1] Wed, 20 Apr 2022 11:18:00 UTC (3,231 KB)
[v2] Fri, 24 Jun 2022 16:16:04 UTC (3,231 KB)
Full-text links:

Access Paper:

  • View PDF
  • TeX Source
  • Other Formats
view license
Current browse context:
nlin.CD
< prev   |   next >
new | recent | 2022-04
Change to browse by:
cond-mat
cond-mat.dis-nn
math
math.DS
nlin

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?)