hiperboliset

Hiperboliset is a term used in several languages to denote a set or collection associated with hyperbolicity. In English-language sources the term is not common, and its meaning is not canonical. When used in mathematical literature, it is often encountered as a translation or calque for "hyperbolic set" or as a descriptor for a family of hyperbolic objects.

Mathematics: Hyperbolic sets in dynamical systems are compact invariant subsets Λ of a smooth manifold M for a diffeomorphism f: M → M, for which the tangent space at each x ∈ Λ splits into a stable and an unstable subspace that are uniformly contracted and expanded by the derivative of f. Such sets exhibit chaotic behavior and include classical examples like the Smale horseshoe and Anosov diffeomorphisms. The term "hiperboliset" in this sense would refer to such a set, depending on linguistic usage.

Geometry and analysis: In geometric contexts, the term could be used to describe a collection of hyperbolas or a construction built from hyperbolic curves, though this usage is less standard in English.

Usage and references: The term is sparse in standard reference works, and readers should consult the specific language edition or context in which it appears to determine the intended meaning.

See also: Hyperbola, Hyperbolic geometry, Hyperbolic dynamical systems, Invariant set.