English

Equilibrium states for impulsive semiflows

Dynamical Systems 2015-11-30 v1

Abstract

We consider impulsive semiflows defined on compact metric spaces and give sufficient conditions, both on the semiflows and the potentials, 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.

Keywords

Cite

@article{arxiv.1511.08437,
  title  = {Equilibrium states for impulsive semiflows},
  author = {Jose F. Alves and Maria Carvalho and Jaqueline Siqueira},
  journal= {arXiv preprint arXiv:1511.08437},
  year   = {2015}
}

Comments

19 pages

R2 v1 2026-06-22T11:55:01.485Z