Zeta functions, periodic trajectories, and the conley index

Christopher McCord, Konstantin Mischaikow, Marian Mrozek

Research output: Contribution to journalArticle

18 Scopus citations

Abstract

We use the Conley index to produce a simple sufficient condition (stated in terms of the Betti numbers of the cohomology Conley index) for the existence of periodic orbits for flows which admit a cross-section.

Original languageEnglish (US)
Pages (from-to)258-292
Number of pages35
JournalJournal of Differential Equations
Volume121
Issue number2
DOIs
StatePublished - Sep 20 1995

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

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