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
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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
Yan, Qi
中科院分区:
--
文献类型:
--
作者:
Wang, Tao;Yin, Ji;ong;Yan, Qi

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本文在半群作用动力系统中引入了几种较强形式的敏感度,如厚敏感度和厚合成敏感度,得到了动力系统具有这种敏感度的几个充分条件。我们证明了半群作用的弱混合系统是稠密敏感的,极小弱混合系统和非极小M-半群作用系统是浓合敏感的。C©2016保留所有权利。
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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