Renormalization of symmetric bimodal maps with low smoothness
Dynamical Systems
2021-07-09 v1
Abstract
This paper deals with the renormalization of symmetric bimodal maps with low smoothness. We prove the existence of the renormalization fixed point in the space symmetric bimodal maps. Moreover, we show that the topological entropy of the renormalization operator defined on the space of symmetric bimodal maps is infinite. Further we prove the existence of a continuum of fixed points of renormalization. Consequently, this proves the non-rigidity of the renormalization of symmetric bimodal maps.
Keywords
Cite
@article{arxiv.2011.09125,
title = {Renormalization of symmetric bimodal maps with low smoothness},
author = {Rohit Kumar and V. V. M. S. Chandramouli},
journal= {arXiv preprint arXiv:2011.09125},
year = {2021}
}
Comments
arXiv admin note: text overlap with arXiv:2010.01293