On the periods of a continuous self-map on a graph

Juan Luis García Guirao, Jaume Llibre

Research output: Contribution to journalArticleResearch

1 Citation (Scopus)

Abstract

© 2019, SBMAC - Sociedade Brasileira de Matemática Aplicada e Computacional. Let G be a graph and f be a continuous self-map on G. We present new and known results (from another point of view) on the periods of the periodic orbits of f using mainly the action of f on its homology, or the shape of the graph G.
Original languageEnglish
Article number78
JournalComputational and Applied Mathematics
Volume38
DOIs
Publication statusPublished - 1 Jun 2019

Keywords

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

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