Abstract
Fractals with different levels of self-similarity and magnification are defined as reduced fractals. It is shown that spectra of these reduced fractals can be constructed and used to describe levels of complexity of natural phenomena. Specific applications to biological systems, such as green algae, are performed, and it is suggested that the obtained spectra can be used to classify the considered algae by identifying spectra associated with them. The ranges of these spectra for green algae are determined and their extension to other biological as well as other natural systems is proposed.
Funder
Deanship for Research & Innovation, Min-443 istry of Education in Saudi Arabia
Subject
Statistics and Probability,Statistical and Nonlinear Physics,Analysis
Reference38 articles.
1. Mandelbrot, B. (1982). The Fractal Geometry of Nature, W.H. Freeman & Company.
2. Schroeder, M. (1991). Fractals, Chaos, Power Laws, W.H. Freeman & Company.
3. Falconer, K. (1990). Fractal Geometry: Mathematical Foundations and Applications, John Wiley & Sons.
4. Peitgen, H.-O., Jürgens, H., and Saupe, D. (2004). Chaos and Fractals, Springer.
5. Gouyet, J.-F. (1996). Physics and Fractal Structures, Springer.
Cited by
2 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献