Let S be a topological semigroup and consider the dynamical system (S, X, ), where X is locally compact metric space with a countable base. When (S, X, ) is transitive, dense of minimal set and non minimal the dynamical system is sensitive.

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Jorge Iglesias Aldo Portela (Mon,) studied this question.

synapsesocial.com/papers/68e695c5b6db64358761c688 https://doi.org/https://doi.org/10.48550/arxiv.2405.12323

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Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

1On sensitivity and transitivity of a dynamical system and its induced dynamical systems2024 · 2 citations
2Compact Orbits and Topological Sensitivity on Locally Compact Spaces2026
3Orbit sets, transitivity, and sensitivity with upper semicontinuous maps2025
4On locally compact shift continuous topologies on the semigroup $\boldsymbol{B}_{[0,\infty)}$ with an adjoined compact ideal2024 · 1 citations
5Weak multi-sensitive compactness and mean sensitivity for linear operators2024