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.