Tracing orbits on conservative maps

Bessa, Mário

http://hdl.handle.net/10400.2/13917

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Authors

Bessa, Mário

Abstract(s)

We explore uniform hyperbolicity and its relation with the pseudo orbit tracing property. This property indicates that a sequence of points which is nearly an orbit (affected with a certain error) may be shadowed by a true orbit of the system. We obtain that, when a conservative map has the shadowing property and, moreover, all the conservative maps in a C1-small neighborhood display the same property, then the map is globally hyperbolic

Keywords

Volume-preserving maps Pseudo-orbits Shadowing Hyperbolicity

URI

http://hdl.handle.net/10400.2/13917

Citation

M. Bessa, Tracing orbits on conservative maps, Bulletin CIM 33, 27-31, 2013

Research Projects

Strategic Project - UI 212 - 2011-2012

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Publisher

CIM - InternatIonal Center for Mathematics

Collections

Matemática e Estatística | Artigos em revistas nacionais / Papers in national journals

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