1/f Noise in Fractal Quaternionic Structures
Abstract
We consider the logistic map over quaternions H4 and different 2D projections of Mandelbrot set in 4D quaternionic space. The approximations (for finite number of iterations) of these 2D projections are fractal circles. We show that the point process defined by radiuses Rj of those fractal circles exhibits pure 1/f noise.
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