Figure 1 | Scientific Reports

Figure 1

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

Figure 1

Illustration of a mixed fGn model with \(H_1 = 0.8\), \(\theta _1 = \pi /6\), \(H_2 = 0.6\), and \(\theta _1 = 4\pi /9\). (a,b) Original components \(\{\epsilon _{1}[i]\}\) and \(\{\epsilon _{2}[i]\}\). (c,d) The orientations of \(\{\epsilon _{1}[i]\}\) and \(\{\epsilon _{2}[i]\}\) in \((x^{(1)}, x^{(2)})\) plane. (e–g) Mixed fluctuations of \(\{\epsilon _{1}[i]\}\) and \(\{\epsilon _{2}[i]\}\) using Eq. (6) in the \((x^{(1)}, x^{(2)})\) plane.

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