Axiom A diffeomorphisms g, C0-close to pseudo-Anosov maps f on a surface M and on its universal covering M are considered. It is shown that for "large" basic sets B of g, a necessary and sufficient condition to have the property that each trajectory in B is shadowed by a trajectory of f is to have a lifting to M of one of its stable (unstable) manifolds at a bounded distance from some stable (unstable) manifold of the lifting of f. © 2002 Elsevier Science B.V. All rights reserved.
CITATION STYLE
Lewowicz, J. (2002). On axiom A diffeomorphisms C0-close to pseudo-Anosov maps. Topology and Its Applications, 122(1–2), 309–319. https://doi.org/10.1016/S0166-8641(01)00152-3
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