Wavelet analysis and applications to some dynamical systems

Details Wavelet analysis and applications to some dynamical systems Wavelet analysis and applications to some dynamical systems

May 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993cemda..56..231b&link_type=abstract

Celestial Mechanics and Dynamical Astronomy (ISSN 0923-2958), vol. 56, no. 1-2, p. 231-262.

Mathematics

Dynamical Systems

4

Asteroids, Cluster Analysis, Dynamical Systems, Fractals, Transformations (Mathematics), Turbulence, Burger Equation, Chaos, Dirac Equation, Fourier Transformation, Partial Differential Equations

Scientific paper

The main properties of the wavelet transform as a new time-frequency method which is particularly well suited for detecting and localizing discontinuities and scaling behavior in signals are reviewed. Particular attention is given to first applications of the wavelet transform to dynamical systems including solution of partial differential equations, fractal and turbulence characterization, and asteroid family determination from cluster analysis. Advantages of the wavelet transform over classical analysis methods are summarized.

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