Autor:	Saiki, Yoshitaka, Takahasi, Hiroki, Yamamoto, Kenichiro, Yorke, James A.
Rok vydání:	2024
Předmět:	Mathematics - Dynamical Systems Nonlinear Sciences - Chaotic Dynamics
Druh dokumentu:	Working Paper
Popis:	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. Comment: 39 pages, 11 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2401.00836 Zobrazit plný text záznamu View this record from Arxiv