Počet záznamů: 1

Generalized correlation dimension - a way to analyze short time changes in non-linear dynamics of thermal plasma

  1. 1.
    0363646 - UT-L 2012 RIV CZ eng J - Článek v odborném periodiku
    Gruber, Jan
    Generalized correlation dimension - a way to analyze short time changes in non-linear dynamics of thermal plasma.
    Acta Technica CSAV. Roč. 56, č. 2 (2011), s. 185-205 ISSN 0001-7043
    Výzkumný záměr: CEZ:AV0Z20570509
    Klíčová slova: correlation dimension * time-embeddings * chaos
    Kód oboru RIV: BL - Fyzika plazmatu a výboje v plynech

    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.
    Trvalý link: http://hdl.handle.net/11104/0199383