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Deplart, N., Escudie, B., Guillemain, P., Kronland Martinet, R., Tchamichian, P. and Torresani, B. (1992) Asymptotic Wavelet and Gabor Analysis, Extraction of Instantaneous Frequency. IEEE Transactions on Information Theory, 38, 644-664.

has been cited by the following article:

• TITLE: Time-Frequency Analysis of Asymmetric Triaxial Galaxy Model Including Effect of Spherical Dark Halo Component

  AUTHORS: Beena R. Gupta, Vinay Kumar

  KEYWORDS: Time-Frequency Analysis, Triaxial Galactic Potential, Instantaneous Frequency, Total Angular Momentum

  JOURNAL NAME: International Journal of Astronomy and Astrophysics, Vol.5 No.2, June 11, 2015

  ABSTRACT: A method of time-frequency analysis (TFA) based on wavelets is applied to study the phase space structure of three-dimensional asymmetric triaxial galaxy enclosed by spherical dark halo component. The investigation is carried out in the presence and absence of dark halo component. Time-frequency analysis is based on the extraction of instantaneous frequency from the phase of the continuous wavelet transform. This method is comparatively fast and reliable. This method can differentiate periodic from quasi-periodic, chaotic sticky from chaotic non-sticky, ordered from chaotic and also, it can accurately determine the time interval of the resonance trapping and transitions too. Apart from that, the phenomenon of transient chaos can be explained with the help of time-frequency analysis. Comparison with the method of total angular momentum (denoted as Ltot) proposed recently is also presented.