The C1Closing Lemma, including Hamiltonians

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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. © 1983, Cambridge University Press. © 1983, Cambridge University Press. All rights reserved.

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Pugh, C. C., & Robinson, C. (1983). The C1Closing Lemma, including Hamiltonians. Ergodic Theory and Dynamical Systems, 3(2), 261–313. https://doi.org/10.1017/S0143385700001978

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