The notions of multi-sensitivity with respect to a vector, $${\mathscr {N}}$$ -sensitivity and strong multi-sensitivity are introduced and studied on semiflows under the action of the most general possible semigroups. Using the concept of Furstenberg families, some other stronger forms of sensitivity are also studied. Moreover, all these notions are studied on hyperspaces and on the product of semiflows.

中文翻译：

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半流向量的多重敏感性

在最一般的可能半群的作用下，介绍并研究了关于向量的多重敏感性的概念，$${\mathscr {N}}$$ -敏感性和强多重敏感性。使用 Furstenberg 家族的概念，还研究了其他一些更强的敏感性形式。此外，所有这些概念都是在超空间和半流的乘积上进行研究的。