Figure 6
From: Detection of oriented fractal scaling components in anisotropic two-dimensional trajectories

Orientation decomposition of the earthquake ground acceleration. Details were described in the text. (a,b) Ground acceleration with the north–south (a) and east–west (b) axes. (c) Angle dependence of \(\log _{10} F^{(\theta )} (\tilde{s})\) vs. \(\log _{10} \tilde{s}\), where \(\tilde{s}=s/2.74\) in fourth-order DDMA. (d) Angle dependence of the local slopes of \(\log _{10} F^{(\theta )} (\tilde{s})\) vs. \(\log _{10} \tilde{s}\). (e) Angle dependence of the slope in the range of \(1.3< \log _{10} \tilde{s} < 2.2\). (f) Fluctuation functions of the reconstructed components of \(\hat{\epsilon }_{1}\) and \(\hat{\epsilon }_{2}\) in fourth-order DDMA.