The Lyapunov dimension of a nowhere differentiable attracting torus

James L. Kaplan, John Mallet‐Paret, James A. Yorke

Type: Article

Publication Date: 1984-06-01

Citations: 121

DOI: https://doi.org/10.1017/s0143385700002431

Abstract

Abstract The fractal dimension of an attracting torus T k in × T k is shown to be almost always equal to the Lyapunov dimension as predicted by a previous conjecture. The cases studied here can have several Lyapunov numbers greater than 1 and several less than 1

Locations

Ergodic Theory and Dynamical Systems - View - PDF

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