TY - JOUR AU - Miller, Alica PY - 2019 TI - Weak mixing in general semiflows implies multi-sensitivity, but not thick sensitivity JO - Journal of Nonlinear Sciences and Applications SP - 120--123 VL - 12 IS - 2 AB - It was proved by Wang et al. [Wang, J. Yin, Q. Yan, J. Nonlinear Sci. Appl., \({\bf 9}\) (2016), 989--997] that any weakly mixing semiflow on a compact metric space, whose all transition maps are surjective, is thickly sensitive. We consider what happens if we do not have the assumptions of compactness and surjectivity. We prove that even in that case any weakly mixing semiflow is multi-sensitive, and that, however, it does not have to be thickly sensitive. SN - ISSN 2008-1901 UR - http://dx.doi.org/10.22436/jnsa.012.02.05 DO - 10.22436/jnsa.012.02.05 ID - Miller2019 ER - TY - JOUR TI - Topological transitivity and mixing notions for group actions AU - G. Cairns AU - A. Kolganova AU - A. Nielsen JO - Rocky Mount. J. Math. PY - 2007 DA - 2007// VL - 37 ID - Cairns2007 ER - TY - JOUR TI - Weak-mixing implies sensitive dependence AU - L. He AU - X. Yan AU - L. Wang JO - J. Math. Anal. Appl. PY - 2004 DA - 2004// VL - 299 ID - He2004 ER - TY - JOUR TI - A note on sensitivity of semigroup actions AU - E. Kontorovich AU - M. Megrelishvili JO - Semigroup Forum PY - 2008 DA - 2008// VL - 76 ID - Kontorovich2008 ER - TY - JOUR TI - On some stochastic properties in Devaney’s chaos AU - S. Lardjane JO - Chaos. Solitons Fractals PY - 2006 DA - 2006// VL - 28 ID - Lardjane2006 ER - TY - JOUR TI - Multi-sensitivity, syndetical sensitivity and the asymptotic average-shadowing property for continuous semi-flows AU - R. Li AU - T. Lu AU - Y. Zhao AU - H. Wang AU - H. Liang JO - J. Nonlinear Sci. Appl. PY - 2017 DA - 2017// VL - 10 ID - Li2017 ER - TY - JOUR TI - Envelopes of syndetic subsemigroups of the acting topological semigroup in a semiflow AU - A. Miller JO - Topology Appl. PY - 2011 DA - 2011// VL - 158 ID - Miller2011 ER - TY - JOUR TI - Stronger forms of sensitivity for dynamical systems AU - T. K. S. Moothathu JO - Nonlinearity PY - 2007 DA - 2007// VL - 20 ID - Moothathu2007 ER - TY - JOUR TI - The sufficient conditions for dynamical systems of semigroup actions to have some stronger forms of sensitivities AU - T. Wang AU - J. Yin AU - Q. Yan JO - J. Nonlinear Sci. Appl. PY - 2016 DA - 2016// VL - 9 ID - Wang2016 ER -