New approach to the problem of chaotic repellers
- 1 September 1986
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 34 (3) , 2520-2523
- https://doi.org/10.1103/physreva.34.2520
Abstract
It is shown that a smooth stationary distribution can be derived for ‘‘coarse-grained’’ repellers by compensating the local escape. This provides a convenient framework to investigate statistical properties of long chaotic transients. Furthermore, our procedure yields a powerful tool for calculating fractal dimensions.Keywords
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