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2022 Topological pressure for discontinuous semiflows and a variational principle for impulsive dynamical systems
Lucas Backes, Fagner B. Rodrigues
Topol. Methods Nonlinear Anal. 59(1): 303-330 (2022). DOI: 10.12775/TMNA.2021.027

Abstract

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 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 [3].

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Lucas Backes. Fagner B. Rodrigues. "Topological pressure for discontinuous semiflows and a variational principle for impulsive dynamical systems." Topol. Methods Nonlinear Anal. 59 (1) 303 - 330, 2022. https://doi.org/10.12775/TMNA.2021.027

Information

Published: 2022
First available in Project Euclid: 4 April 2022

Digital Object Identifier: 10.12775/TMNA.2021.027

Keywords: Impulsive systems , topological pressure , Variational principle

Rights: Copyright © 2022 Juliusz P. Schauder Centre for Nonlinear Studies

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Vol.59 • No. 1 • 2022
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