In this paper, we continue the study of abelian semigroup actions of several stronger versions of sensitivity, such as syndetically sensitive, thickly sensitive and thickly syndetically sensitive. We derive some sufficient conditions for a dynamical system to have these sensitivities. Also, we prove that the minimal and sensitive system is syndetically sensitive and non-minimal M-system is thickly syndetically sensitive. Some other significant properties of this new class are obtained.

中文翻译：

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Abelian半群动作动力学系统中更强的灵敏度形式

在本文中，我们继续研究几种敏感性更高的版本（例如，句柄敏感，厚句敏感和句柄敏感）的belian半群动作。我们得出动力学系统具有这些敏感性的一些充分条件。同样，我们证明了最小敏感系统是联觉敏感的，非最小M系统是稠密敏感的。获得了该新类的其他一些重要属性。