Numerical estimates of the generalized dimensions of the Hénon attractor for negativeq
- 7 August 1996
- journal article
- letter
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 29 (15) , L391-L398
- https://doi.org/10.1088/0305-4470/29/15/005
Abstract
The usual fixed-size box-counting algorithms are inefficient for computing generalized fractal dimensions in the range of q < 0. In this letter we describe a new numerical algorithm specifically devised to estimate generalized dimensions for large negative q, providing evidence of its better performance. We compute the complete spectrum of the Hénon attractor, and interpret our results in terms of a `phase transition' between different multiplicative laws.Keywords
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