Dynamical analysis of fractional order Uçar prototype delayed system

Abstract

Chaotic dynamics of the fractional order Uçar system involving time delay is studied. Modified Adams-Bashforth-Moulton method is used for numerical simulations. Effect of fractional order and delay on chaotic behavior of the system is studied. The two-scroll attractor is observed in the system for the range of fractional order 0. 5 < α ≤ 1. For the range 0. 2 ≤ α ≤ 0. 5, same system shows one-scroll attractor. © 2012 Springer-Verlag London Limited.