The Lyapunov dimension of a nowhere differentiable attracting torus
Open Access
- 1 June 1984
- journal article
- research article
- Published by Cambridge University Press (CUP) in Ergodic Theory and Dynamical Systems
- Vol. 4 (2), 261-281
- https://doi.org/10.1017/s0143385700002431
Abstract
The fractal dimension of an attracting torus Tk in × Tk 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 1Keywords
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