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

Exactly Solvable and Integrable Systems

arXiv:solv-int/9402001 (solv-int)
[Submitted on 10 Feb 1994]

Title:Non Proliferation of Preimages in Integrable Mappings

Authors:B. Grammaticos (LPN, Université Paris VII, Tour 24-14, Paris, France), A. Ramani (CPT, Ecole Polytechnique, CNRS, UPR 14, 91128 Palaiseau, France), K.M. Tamizhmani (Departement of Mathematics, Pondicherry University, 605014 Pondicherry, India)
View PDF
Abstract: We present an integrability criterion for rational mappings based on two requirements. First, that a given point should have a unique preimage under the mapping and, second, that the spontaneously appearing singularities be confined to a few iteration steps. We present several examples of known integrable mappings that meet these requirements and, also, use our algorithm in order to derive new examples of integrable mappings.
Comments: plain tex
Subjects: Exactly Solvable and Integrable Systems (nlin.SI)
Cite as: arXiv:solv-int/9402001
  (or arXiv:solv-int/9402001v1 for this version)
  https://doi.org/10.48550/arXiv.solv-int/9402001
Related DOI: https://doi.org/10.1088/0305-4470/27/2/037

Submission history

From: Basile Grammaticos [view email]
[v1] Thu, 10 Feb 1994 13:21:09 UTC (8 KB)
Full-text links:

Access Paper:

  • View PDF
  • TeX Source
  • Other Formats
view license
Current browse context:
nlin.SI
< prev   |   next >
new | recent | 1994-02

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?)