The Devron property
Dynamical Systems
2014-07-21 v2 Combinatorics
Abstract
We introduce a criterion called the Devron property that a discrete dynamical system can possess. The Devron property is said to occur when a class of highly singular inputs of a mapping F are carried by some iterate of to a class of highly singular inputs of . The inspiration for this definition is the discovery by R. Schwartz that the pentagram map exhibits this kind of behavior. We investigate occurrences of the Devron property in a number of different dynamical systems.
Keywords
Cite
@article{arxiv.1312.6881,
title = {The Devron property},
author = {Max Glick},
journal= {arXiv preprint arXiv:1312.6881},
year = {2014}
}
Comments
41 pages, 8 figures; minor revisions; to appear in Journal of Geometry and Physics