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Astafyeva N. M. Wavelet analysis: local inhomogeneities spectral analysis (fundamental properties and applications). Izvestiya VUZ. Applied Nonlinear Dynamics, 1996, vol. 4, iss. 2, pp. 3-39.

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Language: 
Russian
Heading: 
Review of Actual Problems of Nonlinear Dynamics
Article type: 
Article
UDC: 
551(551.2+583.1), 621.317

Wavelet analysis: local inhomogeneities spectral analysis (fundamental properties and applications)

Autors: 
Astafyeva Natalia Mikhailovna, Lomonosov Moscow State University
Abstract: 

We present е wavelet transform as а mathematical method which is well suited for studying the local scaling and spectral properties of complex natural, experimental and numerical data. Set of examples have been included to illustrate the potential of wavelets for different signals analysing: the model time series (harmonic, with singularities, fractal) and the geophysical natural time series. We have analysed the features of ENSO - global process in ocean-atmosphere system which has direct bearing on climat.

Key words: 
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Acknowledgments: 
The work was supported by the RFBR N 93-01-17342.
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Received: 
25.12.1995
Accepted: 
23.05.1996
Published: 
21.07.1996
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