Abstract:
—In this article the authors have studied the stability
analysis and chaos control of the fractional order Vallis and
El-Nino systems. The chaos control of these systems is studied using nonlinear control method with the help of a new
lemma for Caputo derivative and Lyapunov stability theory.
The synchronization between the systems for different fractional
order cases and numerical simulation through graphical plots for
different particular cases clearly exhibit that the method is easy
to implement and reliable for synchronization of fractional order
chaotic systems. The comparison of time of synchronization when
the systems pair approaches from standard order to fractional
order is the key feature of the article
