Abstract
A formula, applicable to invertible maps of arbitrary dimensionality, is derived for the information dimensions of the natural measures of a nonattracting chaotic set and of its stable and unstable manifolds. The result gives these dimensions in terms of the Lyapunov exponents and the decay time of the associated chaotic transient. As an example, the formula is applied to the physically interesting situation of filtering of data from chaotic systems. © 1996 The American Physical Society.
- Received 28 June 1996
DOI:https://doi.org/10.1103/PhysRevE.54.4819
©1996 American Physical Society
