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In arXiv:1801.01238 a variation of Bowen's topological entropy that can beapplied to the study of discontinuous semiflows on compact metric spaces wasintroduced. The main novetly is the use of certain family of pseudosemimetricsassociated to the semiflow, in a such a way that in the continuous case theycoincide with the classical Bowen's entropies. It was proved that regularimpulsive semiflow can be semiconjugated by uniformly continuous bijection tocertain continuous semiflow defined in a compact metric space. In the citedpaper, the entropy is defined by the growth rate of separated sets. The mainresults of the present work is show that, for regular impulsive semiflows, theentropy defined by using spanning sets agrees with the entropy using separatedsets. Moreover, this notion of entropy satisfy a variational principle. Thisresults are obtained introducing a little change on the family ofpseudosemimetrics associated to.

Topological entropy and metric entropy for regular impulsive semiflows