Editors: | Kongoli F, Bordas S, Estrin Y |
Publisher: | Flogen Star OUTREACH |
Publication Year: | 2015 |
Pages: | 300 pages |
ISBN: | 978-1-987820-24-9 |
ISSN: | 2291-1227 (Metals and Materials Processing in a Clean Environment Series) |
In this study, we present results concerning the experimental data analysis of different physical complex systems and processes such as: plastic deformation in materials, space plasmas, seismogenesis, climate, DNA and others. In particular, we study serrations from stress-strain graphs, ion fluxes and magnetic field, earthquake time series, geopotential height, DNA sequences and others.
The analysis is based on modern theoretical and mathematical tools of Complexity theory, such as nonlinear time series analysis (e.g. estimation of correlation dimension, spectrum of Lyapunov exponents, Hurst exponent), turbulence analysis (flatness coefficient, structure function etc) and Tsallis non-extensive statistics (Tsallis q-triplet). The analysis is capable of capturing significant features of the dynamics of each system in study, giving significant information identifying and characterizing the dynamical characteristics and the ability of complexity and self-organization (e.g low dimensional chaotic or self-organized critical, intermittent turbulence etc).
The results clearly show that even though the systems we study are completely different in their details, they generate common universal properties and features as far as the complexity and self-organization is concerned. Also, the results can be related to fractional dynamical nonlinear processes with non-extensive statistical character.