Study on Fractionalized Oscillatory Systems in Polar Coordinates
Planar oscillators in polar coordinates have been previously studied in integer order systems for many years. In this paper, some properties of fractionalized dynamic systems in polar coordinates which have oscillatory behavior in integer order polar coordinates have been investigated via numerical and analytical methods. It has been shown that there is angular acceleration appeared in such systems, not seen in integer order counterparts. Also, the convergence rate toward the limit cycle depends on the order of fractional derivative.