Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9867767 | Physics Letters A | 2005 | 8 Pages |
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).
Related Topics
Physical Sciences and Engineering
Physics and Astronomy
Physics and Astronomy (General)
Authors
M. Giona, S. Cerbelli,