In this article we have investigated the synchronization behavior of the planar magnetic-binaries problem by taking into consideration the oblateness of the primaries evolving from different initial conditions using active control technique based on the Lyapunovstability theory and Routh-Hurwitz criteria. Numerical simulations are performed to plot phase portraits, time series analysis graphs of the master system and the slave system which further illustrate the effectiveness of the proposed control techniques.
This article presents the chaos synchronization problem of the restricted three body problem (RTBP) when the primaries are moving in a circular orbit around their center of mass in the non-uniform motion. The feedback controller for the stability of the closed-loop system is designed using the active control strategy. Simulation results satisfy the theoretical findings. For validation of results by numerical simulations, the mathematica 10 is used when the primaries are Mars and Earth.
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