Periods, Lefschetz numbers and entropy for a class of maps on a bouquet of circles

Jaume Llibre, Michael Todd

Research output: Contribution to journalArticleResearchpeer-review

4 Citations (Scopus)

Abstract

We consider some smooth maps on a bouquet of circles. For these maps we can compute the number of fixed points, the existence of periodic points and an exact formula for topological entropy. We use Lefschetz fixed point theory and actions of our maps on both the fundamental group and the first homology group. © 2005 Taylor & Francis.
Original languageEnglish
Pages (from-to)1049-1069
JournalJournal of Difference Equations and Applications
Volume11
DOIs
Publication statusPublished - 1 Oct 2005

Keywords

  • Graph maps
  • Lefschetz numbers
  • Periodic points
  • Topological entropy

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