Topological pressure for discontinuous semiflows and a variational principle for impulsive dynamical systems
DOI:
https://doi.org/10.12775/TMNA.2021.027Keywords
Topological pressure, impulsive systems, variational principleAbstract
We introduce four, a priori different, concepts of topological pressure for possibly discontinuous semiflows acting on a compact metric space and observe that they all agree with the classical one when restricted to the continuous setting. Moreover, for a class of \emph{impulsive semiflows}, which appear to be examples of discontinuous systems, we prove a variational principle. As a consequence, we conclude that for this class of systems the four notions of pressure coincide and, moreover, they also coincide with a concept of the topological pressure introduced in \cite{ACS17}.References
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