Generalized synchronization of different dimensional integer-order and fractional order chaotic systems


In this work different control schemes are proposed to study the problem of generalized synchronization (GS) between integer-order and fractionalorder chaotic systems with different dimensions. Based on Lyapunov stability theory of integer-order differential systems, fractional Lyapunov-based approach and nonlinear controllers, different criterions are derived to achieve generalized synchronization. The effectiveness of the proposed control schemes are verified by numerical examples and computer simulations. © Springer International Publishing AG 2017. All rights reserved.


Ouannas A., Azar A.T., Ziar T., Radwan A.G.


Chaos; Different dimensions; Fractional-order system; Generalized synchronization; Integer-order system


Fractional Order Control and Synchronization of Chaotic Systems, PP. 671 to 697, Doi: 10.1007/978-3-319-50249-6_23

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Book Chapter

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