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Reduced Fractal Analysis of the Multidimensional Attractor Reconstructed from Chaotic Time Series

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Computational Science and Its Applications — ICCSA 2003 (ICCSA 2003)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2667))

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Abstract

On a basis of local-topological approach we propose modification of correlation integral method that solves a problem of minimizing computer resources for fractal analysis implementation and makes the employed algorithm insensitive to enlarging phase space dimension (on the condition of constant length of time series). The numerical simulations confirm reliability of developed algorithm for phase trajectories analysis and its applicability for exploration of the complex systems.

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Author information

Authors and Affiliations

  1. Institute of Engineering Cybernetics AS of Belarus, Surganov St. 6, 220012, Minsk, Belarus

    Victor F. Dailyudenko

Authors
  1. Victor F. Dailyudenko
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Editor information

Editors and Affiliations

  1. Army High Performance Computing Research Center, USA

    Vipin Kumar

  2. Department of Computer Science, University of Calgary, Calgary, AB, T2N1N4, Canada

    Marina L. Gavrilova

  3. Heuchera Technologies Inc., 122 9251-8 Yonge Street, Richmond Hill, ON, Canada, L4C 9T3

    Chih Jeng Kenneth Tan

  4. Département d’informatique et de recherche opérationelle, Université de Montréal, Montréal, Québec, H3C 3J7, Canada

    Pierre L’Ecuyer

  5. Department of Computer Science and Engineering, University of Minessota, MN, 55455, USA

    Vipin Kumar

  6. The Queen’s University of Belfast, School of Computer Science, Belfast BT7 1NN, Northern Ireland, UK

    Chih Jeng Kenneth Tan

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© 2003 Springer-Verlag Berlin Heidelberg

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Dailyudenko, V.F. (2003). Reduced Fractal Analysis of the Multidimensional Attractor Reconstructed from Chaotic Time Series. In: Kumar, V., Gavrilova, M.L., Tan, C.J.K., L’Ecuyer, P. (eds) Computational Science and Its Applications — ICCSA 2003. ICCSA 2003. Lecture Notes in Computer Science, vol 2667. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-44839-X_97

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  • DOI: https://doi.org/10.1007/3-540-44839-X_97

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-40155-1

  • Online ISBN: 978-3-540-44839-6

  • eBook Packages: Springer Book Archive

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