Non-stationary dynamics in the bouncing ball: a wavelet perspective.
Non-stationary dynamics in the bouncing ball: a wavelet perspective.
复制标题
弹跳球的非平稳动力学：小波视角。
作者：
A. Behera;A. Iyengar;P. Panigrahi
利用小波变换研究了弹跳球的非平稳动力学行为，包括周期行为和混沌行为。时间序列的多尺度特征表现出明显的自相似性、复杂的尺度行为和周期性特征。自相似行为通过基于小波的多重分形去趋势波动分析和傅立叶方法得到的广义赫斯特指数来量化。小波的尺度相关的可变窗口大小很好地捕捉了瞬变和非平稳的周期行为，包括不同模式的相位同步。发现了连续Morlet小波的最佳时频局部化，以描述中性湍流、粘性耗散区和不同的时变周期调制对应的尺度。
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.
影响因子：
2.4
作者：
Vestergaard, Christian L.;Blainey, Paul C.;Flyvbjerg, Henrik
通讯作者：
Flyvbjerg, Henrik