MODIFIED HYBRID SYNCHRONIZATION OF IDENTICAL FRACTIONAL HYPERCHAOTIC SYSTEMS WITH INCOMMENSURATE ORDER

Abstract

In this research work, we introduce a new approach for hybrid synchroniza- tion called modi ed hybrid synchronization (MHS). Speci cally, we focus on the MHS of identical fractional hyperchaotic systems with incommensurate order, which is a mixture between complete synchronization, anti-synchronization, projective synchronization and modi ed projective synchronization. To start, we propose a novel hyperchaotic system and also we analyse some its dynamic behaviors. In addition, we prove the MHS approach for identical fractional-order hyperchaotic systems by using a suitable nonlinear controller and stability theory of fractional-order systems. Finally, we take our fractional system as an example to con rm the e ectiveness of the analytical results.