Pointwise periodic maps with quantized first integrals
Dynamical Systems
2022-01-24 v4
Abstract
We describe the global dynamics of some pointwise periodic piecewise linear maps in the plane that exhibit interesting dynamic features. For each of these maps we find a first integral. For these integrals the set of values are discrete, thus quantized. Furthermore, the level sets are bounded sets whose interior is formed by a finite number of open tiles of certain regular or uniform tessellations. The action of the maps on each invariant set of tiles is described geometrically.
Cite
@article{arxiv.2010.12901,
title = {Pointwise periodic maps with quantized first integrals},
author = {Anna Cima and Armengol Gasull and Víctor Mañosa and Francesc Mañosas},
journal= {arXiv preprint arXiv:2010.12901},
year = {2022}
}
Comments
46 pages, 20 figures