The dynamics of the heterochaos baker maps
Dynamical Systems
2024-09-16 v2 Chaotic Dynamics
Abstract
The heterochaos baker maps are piecewise affine maps of the unit square or cube introduced in [Nonlinearity 34, 2021, 5744--5761], to provide a hands-on, elementary understanding of complicated phenomena in systems of large degrees of freedom. We review recent progress on a dynamical systems theory of the heterochaos baker maps, and present new results on properties of measures of maximal entropy and the underlying Lebesgue measure. We address several conjectures and questions that may illuminate new aspects of heterochaos and inspire future research.
Keywords
Cite
@article{arxiv.2401.00836,
title = {The dynamics of the heterochaos baker maps},
author = {Yoshitaka Saiki and Hiroki Takahasi and Kenichiro Yamamoto and James A. Yorke},
journal= {arXiv preprint arXiv:2401.00836},
year = {2024}
}
Comments
39 pages, 11 figures