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- Hyperbolic_set abstract "In dynamical systems theory, a subset Λ of a smooth manifold M is said to have a hyperbolic structure with respect to a smooth map f if its tangent bundle may be split into two invariant subbundles, one of which is contracting and the other is expanding under f, with respect to some Riemannian metric on M. An analogous definition applies to the case of flows. In the special case when the entire manifold M is hyperbolic, the map f is called an Anosov diffeomorphism. The dynamics of f on a hyperbolic set, or hyperbolic dynamics, exhibits features of local structural stability and has been much studied, cf Axiom A.".
- Hyperbolic_set wikiPageID "2658073".
- Hyperbolic_set wikiPageRevisionID "544123004".
- Hyperbolic_set hasPhotoCollection Hyperbolic_set.
- Hyperbolic_set id "4338".
- Hyperbolic_set title "Hyperbolic Set".
- Hyperbolic_set subject Category:Dynamical_systems.
- Hyperbolic_set subject Category:Limit_sets.
- Hyperbolic_set type Abstraction100002137.
- Hyperbolic_set type Attribute100024264.
- Hyperbolic_set type Collection107951464.
- Hyperbolic_set type DynamicalSystem106246361.
- Hyperbolic_set type DynamicalSystems.
- Hyperbolic_set type Group100031264.
- Hyperbolic_set type LimitSets.
- Hyperbolic_set type PhaseSpace100029114.
- Hyperbolic_set type Set107996689.
- Hyperbolic_set type Space100028651.
- Hyperbolic_set comment "In dynamical systems theory, a subset Λ of a smooth manifold M is said to have a hyperbolic structure with respect to a smooth map f if its tangent bundle may be split into two invariant subbundles, one of which is contracting and the other is expanding under f, with respect to some Riemannian metric on M. An analogous definition applies to the case of flows. In the special case when the entire manifold M is hyperbolic, the map f is called an Anosov diffeomorphism.".
- Hyperbolic_set label "Dynamique hyperbolique".
- Hyperbolic_set label "Hyperbolic set".
- Hyperbolic_set label "Гиперболическое множество".
- Hyperbolic_set sameAs Dynamique_hyperbolique.
- Hyperbolic_set sameAs m.07vx0f.
- Hyperbolic_set sameAs Q3042004.
- Hyperbolic_set sameAs Q3042004.
- Hyperbolic_set sameAs Hyperbolic_set.
- Hyperbolic_set wasDerivedFrom Hyperbolic_set?oldid=544123004.
- Hyperbolic_set isPrimaryTopicOf Hyperbolic_set.