Liu, Heng; Hai, Lun; Che, Jia-qi Research on generalized sensitivity. (Chinese. English summary) Zbl 1307.54031 J. Dalian Nationalities Univ. 12, No. 3, 233-235 (2010). Summary: Let \(X\) be a compact metric space containing at least two points and let \(f:X\to x\) be continuous. We introduce the notion of totally maximum sensitivity (TMS) and proved that \(f\) is weakly mixing iff it is TMS. We particularly proved that 2-sensitivity does not imply 3-sensitivity by a counterexample. MSC: 54E40 Special maps on metric spaces Keywords:weak mixing; sensitive dependence on initial conditions; totally maximum sensitivity PDFBibTeX XMLCite \textit{H. Liu} et al., J. Dalian Nationalities Univ. 12, No. 3, 233--235 (2010; Zbl 1307.54031)