Topological entropy of continuous self-maps on a graph

Juan Luis García Guirao, Jaume Llibre, Wei Gao

Research output: Contribution to journalArticleResearch

Abstract

© 2019, SBMAC - Sociedade Brasileira de Matemática Aplicada e Computacional. Let G be a graph and f be a continuous self-map on G. Using the Lefschetz zeta function of f, we provide a sufficient condition in order that f has positive topological entropy. Moreover, for some classes of graphs we improve this condition making it easier to check.
Original languageEnglish
Article number154
JournalComputational and Applied Mathematics
Volume38
DOIs
Publication statusPublished - 1 Dec 2019

Keywords

  • Discrete dynamical systems
  • Lefschetz numbers
  • Lefschetz zeta function
  • Period
  • Periodic point
  • Topological entropy
  • Topological graph

Fingerprint Dive into the research topics of 'Topological entropy of continuous self-maps on a graph'. Together they form a unique fingerprint.

Cite this