The C1Closing Lemma, including Hamiltonians

Charles C. Pugh; Clark Robinson

doi:10.1017/S0143385700001978

The C¹Closing Lemma, including Hamiltonians

Charles C. Pugh, Clark Robinson

Mathematics

Research output: Contribution to journal › Article › peer-review

170 Scopus citations

Abstract

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 language	English (US)
Pages (from-to)	261-313
Number of pages	53
Journal	Ergodic Theory and Dynamical Systems
Volume	3
Issue number	2
DOIs	https://doi.org/10.1017/S0143385700001978
State	Published - Jun 1983

ASJC Scopus subject areas

Mathematics(all)
Applied Mathematics

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title = "The C1Closing Lemma, including Hamiltonians",

abstract = "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.",

author = "Pugh, {Charles C.} and Clark Robinson",

year = "1983",

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AU - Robinson, Clark

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The C¹Closing Lemma, including Hamiltonians

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