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A General Systems Theory for the Observed Fractal Space-Time Fluctuations in Dynamical Systems

2004/04/03 by A. M. Selvam, Selvam, A. M.
Biochemistry, Genetics and Molecular Biology · Computer Science · Physics and Astronomy · #Cellular Automata and Applications #FOS: Physical sciences #Fractal and DNA sequence analysis #General Physics (physics.gen-ph) #Theoretical and Computational Physics #physics.gen-ph

paper · pdf · doi:10.48550/arxiv.physics/0404014

4 pages, 2 figures

arxiv created 2004/04/03 · openalex publication_date 2004/04/03 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Recent studies of DNA sequence of letters A, C, G and T exhibit the inverse power law form frequency spectrum. Inverse power-law form of the power spectra of fractal space-time fluctuations is generic to the dynamical systems in nature and is identified as self-organized criticality. In this study it is shown that the power spectra of the frequency distributions of bases C+G in the Human chromosome X DNA exhibit self-organized criticality. DNA is a quasicrystal possessing maximum packing efficiency in a hierarchy of spirals or loops. Self-organized criticality implies that non-coding introns may not be redundant, but serve to organize the effective functioning of the coding exons in the DNA molecule as a complete unit.

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