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Wavelet analysis and applications to some dynamical systems

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Publication:687254
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DOI10.1007/BF00699735zbMath0780.58030OpenAlexW4254684090MaRDI QIDQ687254

Éric Slezak, Ph. Bendjoya

Publication date: 1 November 1993

Published in: Celestial Mechanics and Dynamical Astronomy (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00699735


zbMATH Keywords

turbulencewavelet transformpartial differential equationstime-frequency analysisfractalasteroid families


Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Dynamical systems approach to turbulence (76F20)




Cites Work

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  • Wavelet transforms of self-similar processes
  • The dimension spectrum of some dynamical systems
  • Quantitative universality for a class of nonlinear transformations
  • On the wavelet transformation of fractal objects.
  • On the nature of turbulence
  • A theory for multiresolution signal decomposition: the wavelet representation
  • Fractal measures and their singularities: The characterization of strange sets
  • A simple dynamical model of intermittent fully developed turbulence
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