Phase and anti-phase synchronization of fractional order chaotic systems via active control

This paper is devoted to investigate the phase and anti-phase synchronization between two identical and non-identical fractional order chaotic systems using techniques from active control theory. The techniques are applied to fractional order chaotic Lü and Liu systems. Numerical results demonstrate the effectiveness and feasibility of the proposed control techniques.

Research highlights► We have used the method of active control for phase and anti-phase synchronization. ► This technique has applied to fractional order chaotic Lü and Liu systems. ► The stability analysis, depending on fractional order derivative, has discussed. ► Numerical results together with the stability analysis have demonstrated.