The sufficient conditions for dynamical systems of semigroup actions to have some stronger forms of sensitivities
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Authors
Tao Wang
- Department of Mathematics, Nanchang University, Nanchang 330031, P. R. China.
Jiandong Yin
- Department of Mathematics, Nanchang University, Nanchang 330031, P. R. China.
Qi Yan
- Department of Mathematics, Nanchang University, Nanchang 330031, P. R. China.
Abstract
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.
Share and Cite
ISRP Style
Tao Wang, Jiandong Yin, Qi Yan, The sufficient conditions for dynamical systems of semigroup actions to have some stronger forms of sensitivities, Journal of Nonlinear Sciences and Applications, 9 (2016), no. 3, 989--997
AMA Style
Wang Tao, Yin Jiandong, Yan Qi, The sufficient conditions for dynamical systems of semigroup actions to have some stronger forms of sensitivities. J. Nonlinear Sci. Appl. (2016); 9(3):989--997
Chicago/Turabian Style
Wang, Tao, Yin, Jiandong, Yan, Qi. "The sufficient conditions for dynamical systems of semigroup actions to have some stronger forms of sensitivities." Journal of Nonlinear Sciences and Applications, 9, no. 3 (2016): 989--997
Keywords
- Semigroup action
- thick sensitivity
- thickly syndetical sensitivity
- weakly mixing.
MSC
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