Modified projective synchronization of uncertain fractional order hyperchaotic systems

Base on the stability theory of fractional order system, this work mainly investigates modified projective synchronization of two fractional order hyperchaotic systems with unknown parameters. A controller is designed for synchronization of two different fractional order hyperchaotic systems. The method is successfully applied to modified projective synchronization between fractional order Rössler hyperchaotic system and fractional order Chen hyperchaotic system, and numerical simulations illustrate the effectiveness of the obtained results.

► The modified projective synchronization of two uncertain fractional order chaotic systems is studied.
► A controller is designed to synchronize two different fractional order systems.
► The estimators are also given for the unknown parameters of the system.
► The method is applied to realize the synchronization two classical fractional order chaotic systems.
► Many numerical simulations illustrate the effectiveness of the results obtained.