The Unexpected Fractal Signatures in Fibonacci Chains

被引：1
|
作者：
Fang, Fang [1 ]
Aschheim, Raymond [1 ]
Irwin, Klee [1 ]
机构：
[1] Quantum Grav Res, Los Angeles, CA 90290 USA
来源：
FRACTAL AND FRACTIONAL | 2019年 / 3卷 / 04期
关键词：
Fibonacci chain; fractal signature; Fourier space; QUASI-CRYSTALS;
D O I：
10.3390/fractalfract3040049
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, a new fractal signature possessing the cardioid shape in the Mandelbrot set is presented in the Fourier space of a Fibonacci chain with two lengths, L and S, where L/S=phi. The corresponding pointwise dimension is 1.7. Various modifications, such as truncation from the head or tail, scrambling the orders of the sequence and changing the ratio of the L and S, are done on the Fibonacci chain. The resulting patterns in the Fourier space show that that the fractal signature is very sensitive to changes in the Fibonacci order but not to the L/S ratio.
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收藏
页码：1 / 9
页数：9
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