The C1Closing Lemma, including Hamiltonians

Charles C. Pugh, Clark Robinson

Research output: Contribution to journalArticlepeer-review

156 Scopus citations


An Axiom of Lift for classes of dynamical systems is formulated. It is shown to imply the Closing Lemma. The Lift Axiom is then verified for dynamical systems ranging from C1diffeomorphisms to C1Hamiltonian vector fields.

Original languageEnglish (US)
Pages (from-to)261-313
Number of pages53
JournalErgodic Theory and Dynamical Systems
Issue number2
StatePublished - Jun 1983

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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