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Generalized correlation dimension - a way to analyze short time changes in non-linear dynamics of thermal plasma
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SYSNO ASEP 0363646 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Ostatní články Title Generalized correlation dimension - a way to analyze short time changes in non-linear dynamics of thermal plasma Author(s) Gruber, Jan (UT-L) RID, ORCID Source Title Acta Technica CSAV. - : Ústav termomechaniky AV ČR, v. v. i. - ISSN 0001-7043
Roč. 56, č. 2 (2011), s. 185-205Number of pages 21 s. Language eng - English Country CZ - Czech Republic Keywords correlation dimension ; time-embeddings ; chaos Subject RIV BL - Plasma and Gas Discharge Physics CEZ AV0Z20570509 - UE-C, UT-L (2005-2011) Annotation Method of windowed correlation dimension estimates based on correlation dimension (D2) estimates by Grassberger–Procaccia algorithm is presented. Concept of generalization of correlation dimension DC) is demonstrated by softening the requirements of D2 estimation algorithm and by iterative approach to determine the optimal parameters of this algorithm. The whole modified method is thoroughly demonstrated on model data (2D grid of points and Lorenz attractor). This method is then applied, and generalized correlation dimension is calculated for thermal plasma dynamics in subsequent chunks of data. For noise-free data with clearly defined dimensionality, DC approaches correlation dimension D2. Workplace Institute of Thermomechanics Contact Marie Kajprová, kajprova@it.cas.cz, Tel.: 266 053 154 ; Jana Lahovská, jaja@it.cas.cz, Tel.: 266 053 823 Year of Publishing 2012
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