Combination Synchronization of Three Different Fractional-Order Delayed Chaotic Systems

Abstract EN

Time delay is a frequently encountered phenomenon in some practical engineering systems and introducing time delay into a system can enrich its dynamic characteristics.

There has been a plenty of interesting results on fractional-order chaotic systems or integer-order delayed chaotic systems, but the problem of synchronization of fractional-order chaotic systems with time delays is in the primary stage.

Combination synchronization of three different fractional-order delayed chaotic systems is investigated in this paper.

It is an extension of combination synchronization of delayed chaotic systems or combination synchronization of fractional-order chaotic systems.

With the help of stability theory of linear fractional-order systems with multiple time delays, we design controllers to achieve combination synchronization of three different fractional-order delayed chaotic systems.

In addition, numerical simulations have been performed to demonstrate and verify the theoretical analysis.