This article is cited in 8 papers

Making Fractals Fat

V. F. Lazutkin

St.-Petersburg State University, Petrodvorec, St.-Peterburg, 198904, Russi

Abstract: An explicit contruction of a nonuniformly hyperbolic invariant set of positive Lebesgue measure in the phase space of an area-preserving map is suggested. The construction is based on the study of the web created by the stable and unstable manifolds of fixed hyperbolic points.

MSC: 58F05, 58F36

Received: 02.04.1999

Language: English

DOI: 10.1070/RD1999v004n01ABEH000098

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