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Numerical investigation of a star's trajectory in binary Quasar system
VINAY KUMAR,BEENA R GUPTA,RAJIV AGGARWAL 장전수학회 2016 Advanced Studies in Contemporary Mathematics Vol.26 No.3
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.
Agrawal, Anju,Sailani, Riya,Gupta, Beena,Khandelwal, C.L.,Sharma, P.D. Korean Chemical Society 2012 대한화학회지 Vol.56 No.2
The kinetics of oxidation of nicotinic acid by peroxomonosulfate (PMS) has been studied in acetate buffers. Stoichiometry of the reaction corresponds to the reaction of one mole of the oxidant with a mole of nicotinic acid. N${\rightarrow}$O product has been confirmed both by UV visible and IR spectroscopy. The reaction is second order viz. first order with respect to each reactant. Activation parameters have also been evaluated. A plausible reaction mechanism is mentioned and the derived kinetic rate law accounts for experimental observations.