Multi-scale dynamics of glow discharge plasma through wavelets: Self-similar behavior to neutral turbulence and dissipation

Abstract

The multiscale dynamics of glow discharge plasma is analysed through wavelet transform, whose scale dependent variable window size aptly captures both transients and non-stationary periodic behavior. The optimal time-frequency localization ability of the continuous Morlet wavelet is found to identify the scale dependent periodic modulations efficiently, as also the emergence of neutral turbulence and dissipation, whereas the discrete Daubechies basis set has been used for detrending the temporal behavior to reveal the multi-fractality of the underlying dynamics. The scaling exponents and the Hurst exponent have been estimated through wavelet based detrended fluctuation analysis,and also Fourier methods and rescale range analysis.

Causality and correlations between BSE and NYSE indexes: A Janus faced relationship

“…As is well known, stock prices are affected by a plethora of factors, the dynamics of which do not get easily revealed in the time series plot of the stock prices [23]. A better understanding of the market dynamics is obtained through phase-space analysis, through the study of the returns as a function of the price indexes, akin to the velocity-trajectory plots in particle dynamics [24,25]. The phase space plots shown in Fig.4, clearly reveal periodic and structured variations, both in the short and long time scales.…”