Synchronization analysis chaos of fractional derivatives chaotic
satellite systems via feedback active control methods
Abstract
In this research article, a new fractional derivative chaotic satellite
system is presented. Nature of different fractional derivative (order)
satellite systems with phase portrait analysis versus parameters are
analysed through utilization of the fractional calculus in computational
simulation. Phase portrait analysis of fractional derivatives of the
different satellite systems is drawn and tabled with various parameters
values. In new fractional derivative satellite systems, chaos is existed
in less than 3D (dimensional) satellite systems. The results are
validated by the different tools:- equilibrium points, dissipative,
Lyapunov exponents and bifurcation diagrams. Feedback and active control
techniques for controlling chaos synchronization of new fractional
derivative satellite systems are achieved.