The C1 Closing Lemma, including Hamiltonians
- 1 June 1983
- journal article
- research article
- Published by Cambridge University Press (CUP) in Ergodic Theory and Dynamical Systems
- Vol. 3 (2) , 261-313
- https://doi.org/10.1017/s0143385700001978
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 C1 diffeomorphisms to C1 Hamiltonian vector fields.Keywords
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