Measures of intermediate entropies for star vector fields

Autor:	Li, Ming, Shi, Yi, Wang, Shirou, Wang, Xiaodong
Rok vydání:	2018
Předmět:	Mathematics - Dynamical Systems
Druh dokumentu:	Working Paper
Popis:	We prove that all star vector fields, including Lorenz attractors and multisingular hyperbolic vector fields, admit the intermediate entropy property. To be precise, if $X$ is a star vector field with $h_{top}(X)>0$, then for any $h\in [0,h_{top}(X))$, there exists an ergodic invariant measure $\mu$ of $X$ such that $h_{\mu}(X)=h$. Moreover, we show that the topological entropy is lower semi-continuous for star vector fields.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1808.08700 Zobrazit plný text záznamu View this record from Arxiv