We gratefully acknowledge support from
the Simons Foundation and member institutions.
Full-text links:

Download:

Current browse context:

math.DS
< prev | next >
new | recent | 2404

Change to browse by:

math

References & Citations

Bookmark

(what is this?)
CiteULike logo BibSonomy logo Mendeley logo del.icio.us logo Digg logo Reddit logo

Mathematics > Dynamical Systems

Title: Piecewise Contractions

Authors: Sakshi Jain, Carlangelo Liverani
(Submitted on 3 Apr 2024 (v1), last revised 16 Apr 2024 (this version, v2))
Abstract: We study piecewise injective, but not necessarily globally injective, contracting maps on a compact subset of \(\bR^d\). We prove that generically the attractor and the set of discontinuities are disjoint, and hence the attractor consists of periodic orbits. In addition, we prove that piecewise injective contractions are generically topologically stable.
Subjects: Dynamical Systems (math.DS)
Cite as: arXiv:2404.02371 [math.DS]
  (or arXiv:2404.02371v2 [math.DS] for this version)

Submission history

From: Sakshi Jain Ms. [view email]
[v1] Wed, 3 Apr 2024 00:10:03 GMT (36kb)
[v2] Tue, 16 Apr 2024 03:10:05 GMT (37kb)
Which authors of this paper are endorsers? | Disable MathJax (What is MathJax?)

Link back to: arXiv, form interface, contact.