This Letter discusses the equivalence between the Bowen measure associated with the set Per(n) of periodic points of period n of hyperbolic area-preserving maps of a smooth manifold, and the measure associated with the intersections between stable and unstable manifolds of hyperbolic points. In typical cases of physical interest (i.e., nonuniformly hyperbolic systems) these measures are found to be highly nonuniform (multifractal). (c) 2005 Elsevier B.V. All rights reserved.

Connecting the spatial structure of periodic orbits and invariant manifolds in hyperbolic area-preserving systems / Giona, Massimiliano; Cerbelli, Stefano. - In: PHYSICS LETTERS A. - ISSN 0375-9601. - 347:4-6(2005), pp. 200-207. [10.1016/j.physleta.2005.08.005]

Connecting the spatial structure of periodic orbits and invariant manifolds in hyperbolic area-preserving systems

GIONA, Massimiliano;CERBELLI, Stefano
2005

Abstract

This Letter discusses the equivalence between the Bowen measure associated with the set Per(n) of periodic points of period n of hyperbolic area-preserving maps of a smooth manifold, and the measure associated with the intersections between stable and unstable manifolds of hyperbolic points. In typical cases of physical interest (i.e., nonuniformly hyperbolic systems) these measures are found to be highly nonuniform (multifractal). (c) 2005 Elsevier B.V. All rights reserved.
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Connecting the spatial structure of periodic orbits and invariant manifolds in hyperbolic area-preserving systems / Giona, Massimiliano; Cerbelli, Stefano. - In: PHYSICS LETTERS A. - ISSN 0375-9601. - 347:4-6(2005), pp. 200-207. [10.1016/j.physleta.2005.08.005]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/235135
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