Equilibrium states for impulsive semiflows

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:451

Article

Alves, Jose F.¹  Carvalho, Maria¹  Siqueira, Jaqueline¹ 

[1] Univ Porto, Ctr Matemat, Rua Campo Alegre 687, P-4169007 Oporto, Portugal

关键词: Impulsive dynamical system;    Equilibrium state;    Variational principle;   

DOI  :  10.1016/j.jmaa.2017.02.015

来源: Elsevier

【 摘 要 】

We consider impulsive semiflows defined on compact metric spaces and give sufficient conditions, both on the semiflows and the potential functions, for the existence and uniqueness of equilibrium states. We also generalize the classical notion of topological pressure to our setting of discontinuous semiflows and prove a variational principle. (C) 2017 Elsevier Inc. All rights reserved.

【 授权许可】

Free