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Double wavelet analysis of modulation phenomena in nonstationary dynamics

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Abstract

A new method based on the double wavelet transform is proposed for the analysis of features related to the interaction of modes in nonstationary dynamics of systems with several time scales. Examples are presented, which illustrate new possibilities offered by the proposed method in determining the characteristics of amplitude and frequency modulation from the time series of complex oscillatory processes.

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References

  1. A. Grossmann and J. Morlet, SIAM J. Math. Anal. 15, 723 (1984).

    Article  MATH  MathSciNet  Google Scholar 

  2. I. Daubechies, Ten Lectures on Wavelets (SIAM, Philadelphia, 1992).

    MATH  Google Scholar 

  3. Y. Meyer, Wavelets: Algorithms and Applications (SIAM, Philadelphia, 1993).

    Google Scholar 

  4. C. K. Chui, Wavelets: A Mathematical Tool for Signal Analysis (SIAM, Philadelphia, 1997).

    Google Scholar 

  5. S. G. Mallat, A Wavelet Tour of Signal Processing (Academic, San Diego, 1998).

    MATH  Google Scholar 

  6. A. Pikovsky, M. Rosenblum, and J. Kurths, Synchronization: A Universal Concept in Nonlinear Sciences, Cambridge Nonlinear Science, Ser. 12 (Cambridge Univ. Press, Cambridge, 2001).

    Google Scholar 

  7. O. V. Sosnovtseva, A. N. Pavlov, E. Mosekilde, et al., Phys. Rev. E. 70, 031915 (2004).

    Google Scholar 

  8. O. V. Sosnovtseva, A. N. Pavlov, N. A. Brazhe, et al., Phys. Rev. Lett. 94, 218103 (2005).

    Google Scholar 

  9. V. S. Anishchenko, V. V. Astakhov, A. B. Neiman, and L. Schimansky-Geier, Nonlinear Dynamics of Chaotic and Stochastic Systems, Tutorial and Modern Development (Springer, Berlin, 2002).

    Google Scholar 

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Original Russian Text © A.N. Pavlov, O.N. Pavlova, 2006, published in Pis’ma v Zhurnal Tekhnicheskoĭ Fiziki, 2006, Vol. 32, No. 20, pp. 27–35.

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Pavlov, A.N., Pavlova, O.N. Double wavelet analysis of modulation phenomena in nonstationary dynamics. Tech. Phys. Lett. 32, 880–883 (2006). https://doi.org/10.1134/S1063785006100191

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  • DOI: https://doi.org/10.1134/S1063785006100191

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