About: Generalized correlation dimension - a way to analyze short time changes in non-linear dynamics of thermal plasma     Goto   Sponge   NotDistinct   Permalink

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Description
  • 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.
  • 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. (en)
Title
  • Generalized correlation dimension - a way to analyze short time changes in non-linear dynamics of thermal plasma
  • Generalized correlation dimension - a way to analyze short time changes in non-linear dynamics of thermal plasma (en)
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  • Generalized correlation dimension - a way to analyze short time changes in non-linear dynamics of thermal plasma
  • Generalized correlation dimension - a way to analyze short time changes in non-linear dynamics of thermal plasma (en)
skos:notation
  • RIV/61388998:_____/11:00363646!RIV12-AV0-61388998
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • Z(AV0Z20570509)
http://linked.open...iv/cisloPeriodika
  • 2
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 200912
http://linked.open...ai/riv/idVysledku
  • RIV/61388998:_____/11:00363646
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • correlation dimension; time-embeddings; chaos (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • CZ - Česká republika
http://linked.open...ontrolniKodProRIV
  • [44533C083C0C]
http://linked.open...i/riv/nazevZdroje
  • Acta Technica ČSAV
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 56
http://linked.open...iv/tvurceVysledku
  • Gruber, Jan
http://linked.open...n/vavai/riv/zamer
issn
  • 0001-7043
number of pages
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