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KIAM Preprint  10, Moscow, 1993
Authors: Malinetskii G. G., Potapov A.B., Rahmanov A.I.
Possibility restriction of attractor reconstruction for chaotic dynamical systems
Abstract:
We consider the problems arising in application of algorithms of fractal dimension measurements to data from numerical integration of equations describing RayleighBenard convection. It is shown that in some cases delay reconstruction of attractor from scalar time series requires much more data than processing in original phase space. If the length of time series is too small, then the results resemble that for the case of large noise.
Publication language: russian,  pages: 26
Research direction:
Mathematical modelling in actual problems of science and technics
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About authors:
  • Malinetskii Georgii Gennadyevich,  orcid.org/0000-0001-6041-1926KIAM RAS
  • Potapov A. B.,  KIAM RAS
  • Rahmanov Aleksey Igorevich,  KIAM RAS