Figure 6 | Scientific Reports

Figure 6

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

Figure 6

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.

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