Hyperbolic cantori have dimension zero
- 21 June 1987
- journal article
- letter
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 20 (9) , L559-L561
- https://doi.org/10.1088/0305-4470/20/9/002
Abstract
It is proved that cantori for area-preserving twist maps have dimension zero, only finitely many orbits of gaps, and gap widths go to zero exponentially in each orbit, if they are hyperbolic.This publication has 5 references indexed in Scilit:
- Fractal Dimension of CantoriPhysical Review Letters, 1986
- The discrete Frenkel-Kontorova model and its extensionsPhysica D: Nonlinear Phenomena, 1983
- Dimension, entropy and Lyapunov exponentsErgodic Theory and Dynamical Systems, 1982
- A relation between Lyapunov exponents, Hausdorff dimension and entropyErgodic Theory and Dynamical Systems, 1981
- Some relations between dimension and Lyapounov exponentsCommunications in Mathematical Physics, 1981