1/f Noise in Fractal Quaternionic Structures

T. Meskauskas; B. Kaulakys

doi:10.1063/1.2036706

1/f Noise in Fractal Quaternionic Structures

数学物理 2009-11-11 v2 统计力学 math.MP 混沌动力学计算物理

作者: T. Meskauskas , B. Kaulakys

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摘要

We consider the logistic map over quaternions $\mathbb{H}\sim\mathbb{R}^4$ 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 the point process defined by radiuses $R_j$ of those fractal circles exhibits pure 1/f noise.

引用

@article{arxiv.math-ph/0511074,
  title  = {1/f Noise in Fractal Quaternionic Structures},
  author = {T. Meskauskas and B. Kaulakys},
  journal= {arXiv preprint arXiv:math-ph/0511074},
  year   = {2009}
}

备注

Corrected figures, 5 pages, 4 figures, ICNF 2005

1/f Noise in Fractal Quaternionic Structures

摘要

引用

备注

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