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)|
|Number of pages||53|
|Journal||Ergodic Theory and Dynamical Systems|
|State||Published - Jun 1983|
ASJC Scopus subject areas
- Applied Mathematics