ar X iv : m at h - ph / 0 51 10 74 v 2 1 D ec 2 00 5 1 / f Noise in Fractal Quaternionic Structures
نویسندگان
چکیده
We consider the logistic map over quaternions H ∼ R 4 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 a point process defined by radiuses Rj of those fractal circles exhibits pure 1/f noise.
منابع مشابه
ar X iv : m at h - ph / 0 51 10 74 v 1 2 5 N ov 2 00 5 1 / f Noise in Fractal Quaternionic Structures
We consider the logistic map over quaternions H ∼ R 4 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 a point process defined by radiuses Rj of those fractal circles exhibits pure 1/f noise.
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