Non-stationary dynamics in the bouncing ball: A wavelet perspective
The non-stationary dynamics of a bouncing ball, comprising both periodic as well as chaotic behavior, is studied through wavelet transform. The multi-scale characterization of the time series displays clear signatures 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.
- OSTI ID:
- 22351002
- Journal Information:
- Chaos (Woodbury, N. Y.), Journal Name: Chaos (Woodbury, N. Y.) Journal Issue: 4 Vol. 24; ISSN CHAOEH; ISSN 1054-1500
- Country of Publication:
- United States
- Language:
- English
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