Cánovas, J. S. Topological sequence entropy and chaos of star maps. (English) Zbl 1181.37013 Nonlinear Dyn. Syst. Theory 5, No. 1, 1-8 (2005). Summary: Let \(X_n = \{z\in\mathbb{C}: z^n\in [0, 1]\}\), \(n\in \mathbb{N}\), and let \(f: X_n\to X_n\) be a continuous map such that \(f (0) = 0\). In this paper we prove that \(f\) is chaotic in the sense of Li-Yorke iff there is a strictly increasing sequence of positive integers \(A\) such that the topological sequence entropy of \(f\) relative to \(A\) is positive. Cited in 1 ReviewCited in 1 Document MSC: 37B40 Topological entropy 37E25 Dynamical systems involving maps of trees and graphs PDFBibTeX XMLCite \textit{J. S. Cánovas}, Nonlinear Dyn. Syst. Theory 5, No. 1, 1--8 (2005; Zbl 1181.37013)