1. Non-stationary Dynamics in the Bouncing Ball: A Wavelet perspective
- Author
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Behera, Abhinna Kumar, Panigrahi, Prasanta K., and Iyengar, A. N. Sekar
- Subjects
Mathematical Physics ,Nonlinear Sciences - Chaotic Dynamics - Abstract
The non-stationary dynamics of a bouncing ball, comprising of both periodic as well as chaotic behavior, is studied through wavelet transform. The multi-scale characterization of the time series displays clear signature of self-similarity, complex scaling behavior and periodicity. Self-similar behavior is quantified by the generalized Hurst exponent, obtained through both wavelet based multi-fractal detrended fluctuation analysis and Fourier methods. The scale dependent variable window size of the wavelets aptly captures both the transients and non-stationary periodic behavior, including the phase synchronization of different modes. The optimal time-frequency localization of the continuous Morlet wavelet is found to delineate the scales corresponding to neutral turbulence, viscous dissipation regions and different time varying periodic modulations., Comment: 17 pages, 10 figures, 1 table
- Published
- 2013
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