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The C1 Closing Lemma, including Hamiltonians

Published online by Cambridge University Press:  19 September 2008

Charles C. Pugh  and
Clark Robinson
Charles C. Pugh
Affiliation:
University of California, Berkeley, California 94720, USA
Clark Robinson
Affiliation:
Northwestern University, Evanston, Illinois 60201, USA
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Abstract

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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 C1 diffeomorphisms to C1 Hamiltonian vector fields.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 3 , Issue 2 , June 1983 , pp. 261 - 313
Copyright
Copyright © Cambridge University Press 1983

References

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