On measurement of internal variables of complex self-organized systems and their relation to multifractal spectra

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Abstract

We propose a method for characterizing structured, experimentally observable, complex self-organized systems. The method in question is based on the observation that number of self-organized systems can be mathematically perceived as consisting of several interconnected multifractal components. We illustrate our key results with ensuing applications. The relation of the results obtained to known examples of strange attractors is also discussed.

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Štys, D., Jizba, P., Papáčk, Náhlík, T., & Císař, P. (2012). On measurement of internal variables of complex self-organized systems and their relation to multifractal spectra. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 7166, pp. 36–47). Springer Verlag. https://doi.org/10.1007/978-3-642-28583-7_4

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