Computing fractal dimension in supertransient systems directly, rapidly and reliably #20
Description
I just found this paper by Nusse et al: https://iopscience.iop.org/article/10.1209/epl/i2006-10407-y
They discuss an algorithm called traddle Grid Dimension Algorithm (SGDA) which can be applied to dynamical systems having one-dimensionally unstable stable sets such as basin boundaries. They demonstrate that the SGDA is superior to applying the Box-Counting Algorithm by utilizing straddle pairs for the end points of the boxes.
The paper also describes an implementation strategy.