Realizing arbitrary $d$-dimensional dynamics by renormalization of $C^d$-perturbations of identity
Dynamical Systems
2021-03-30 v1
Abstract
Any conservative map of the -dimensional unit ball can be realized by renormalized iteration of a perturbation of identity: there exists a conservative diffeomorphism of , arbitrarily close to identity in the topology, that has a periodic disc on which the return dynamics after a change of coordinates is exactly .
Cite
@article{arxiv.2103.15530,
title = {Realizing arbitrary $d$-dimensional dynamics by renormalization of $C^d$-perturbations of identity},
author = {Bassam Fayad and Maria Saprykina},
journal= {arXiv preprint arXiv:2103.15530},
year = {2021}
}