The sufficient conditions for dynamical systems of semigroup actions to have some stronger forms of sensitivities
The sufficient conditions for dynamical systems of semigroup actions to have some stronger forms of sensitivities
复制标题
半群作用动力系统具有某种更强形式敏感性的充分条件
DOI:
10.22436/jnsa.009.03.27
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发表时间:
2016-03
影响因子:
--
通讯作者:
Yan, Qi
中科院分区:
文献类型:
--
作者:
Wang, Tao;Yin, Ji;ong;Yan, Qi
In this paper, we introduce several stronger forms of sensitivities in the dynamical systems of semigroup actions, such as thick sensitivity and thickly syndetical sensitivity, and obtain some sufficient conditions for a dynamical system to have such sensitivities. We prove that a weakly mixing system of semigroup actions is thickly sensitive and a minimal weakly mixing system as well as a nonminimal M -system of semigroup actions is thickly syndetically sensitive. c ©2016 All rights reserved.
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