Numerical investigation of a star's trajectory in binary Quasar system
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In this paper, we have considered Time-Frequency analysis (TFA) based on wavelets for the identification and classification of trajectories in a nonlinear dynamical model. Time-Frequency Analysis (TFA) is the relatively fast method. Ridge-plots (Time-frequency landscape) obtained from Time-Frequency Analysis (TFA) extracts instantaneous frequency from the phase of continuous wavelet transform (CWT). The nonlinear model considered in the analysis is the binary system of quasars hosted in the pair of interacting disk galaxies introduced recently. We have characterized the different type of trajectories like periodic, quasi-periodic, chaotic sticky, chaotic non-sticky, weakly and strongly chaotic. We have shown a comparative study between Time-Frequency Analysis (TFA) and a well-established method Lyapunov Characteristic Exponent (LCE). We have also presented the graphs explaining the phenomenon of transient chaos and resonance trapping.
Abstract
In this paper, we have considered Time-Frequency analysis (TFA) based on wavelets for the identification and classification of trajectories in a nonlinear dynamical model. Time-Frequency Analysis (TFA) is the relatively fast method. Ridge-plots (Time-frequency landscape) obtained from Time-Frequency Analysis (TFA) extracts instantaneous frequency from the phase of continuous wavelet transform (CWT). The nonlinear model considered in the analysis is the binary system of quasars hosted in the pair of interacting disk galaxies introduced recently. We have characterized the different type of trajectories like periodic, quasi-periodic, chaotic sticky, chaotic non-sticky, weakly and strongly chaotic. We have shown a comparative study between Time-Frequency Analysis (TFA) and a well-established method Lyapunov Characteristic Exponent (LCE). We have also presented the graphs explaining the phenomenon of transient chaos and resonance trapping.
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