2FNSPE - Department of Mathematics [Prague] (Faculty of Nuclear Sciences and Physical Engineering Czech Technical University in Prague, Trojanova 13, 12000 Prague, Czech Republic - Czech Republic)
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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Dalibor Štys, Petr Jizba, Štěpán Papáček, Tomáš Náhlík, Petr Císař. On Measurement of Internal Variables of Complex Self-Organized Systems and Their Relation to Multifractal Spectra. 6th International Workshop on Self-Organizing Systems (IWSOS), Mar 2012, Delft, Netherlands. pp.36-47, ⟨10.1007/978-3-642-28583-7_4⟩. ⟨hal-01527539⟩