On fractional-order symmetric oscillator with offset-boosting control

On fractional-order symmetric oscillator with offset-boosting control

Blog Article

This article analyzes the dynamical evolution of a three-dimensional symmetric oscillator with a fractional Caputo operator.The dynamical properties of the considered model such as equilibria and its stability are also presented.The existence results and uniqueness lochby venture pouch of solutions for the suggested model are analyzed using the tools from fixed point theory.The symmetric oscillator is analyzed numerically and graphically with various fractional orders.

It is observed that the fractional operator has a significant impact on the evolution of the oscillator dynamics showing that the system has read more a limit-cycle attractor.Offset-boosting control phenomena in the system are also studied with different orders and parameters.