• SYNCRONIZATION BEHAVIOUR OF THE MAGNETIC BINARY PROBLEM WITH VARIABLE MASS

MOHD. ARIF

Abstract


This article deals with the complete synchronization and anti synchronization behavior of the magnetic binary problem when the charged particle has the variable mass, both primaries are the oblate bodies and transferring the origin of the coordinate system to the small primary. Here we have designed a non linear controller based on the Lyapunov stability theory.  Numerical simulations are  performed to  plot  time  series  analysis  graphs  of the  master system  and  the  slave  system  which  further illustrate the effectiveness of the  proposed  control  technique. For validation of results by numerical simulations we used the mathematica when the primaries are Sun and Earth.


Keywords


Magnetic binary problem; complete synchronization; Lyapunov stability theory; Jean’s Law; variable mass.

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