Full state hybrid projective synchronization of a novel incommensurate fractional order hyperchaotic system using adaptive mechanism

In this paper, full state hybrid projective synchronization of two new incommensurate fractional hyperchaotic systems are presented. The synchronization is achieved under a master-slave configuration in which these systems have different fractional orders. The synchronization scheme and control technique are performed subject to parameter uncertainty in both master and slave systems. The main idea of such asymptotical synchronization is an adaptive mechanism which employs Lyapunov stability criterion. Numerical simulations support the proposed techniques.