Complex modified generalized projective synchronization of fractional-order complex chaos and real chaos

Complex Modified Hybrid Projective Synchronization of Different Dimensional Fractional-Order Complex Chaos and Real Hyper-Chaos

This paper introduces a type of modified hybrid projective synchronization with complex transformationmatrix (CMHPS) for different dimensional fractional-order complex chaos and fractional-order real hyper-chaos. The transformationmatrix in this type of chaotic synchronization is a non-square matrix, and its elements are complex numbers. Based on the stability theory of fractional-order systems...

Adaptive complex modified hybrid function projective synchronization of different dimensional complex chaos with uncertain complex parameters

This paper focuses on the adaptivemodified hybrid function projective synchronization with complex function transformationmatrix (CMHFPS) for different dimensional chaotic (hyperchaotic) systemswith complex variables and unknown complex parameters. The chaotic systems are considerably different from those in the existing closely related literature. Moreover, the transformation matrix in this ty...

Generalized Combination Complex Synchronization for Fractional-Order Chaotic Complex Systems

Abstract: Based on two fractional-order chaotic complex drive systems and one fractional-order chaotic complex response system with different dimensions, we propose generalized combination complex synchronization. In this new synchronization scheme, there are two complex scaling matrices that are non-square matrices. On the basis of the stability theory of fractional-order linear systems, we de...

Complex Emergent Properties and Chaos (De)synchronization

Chaos synchronization of complex Rössler system

This paper presents chaos synchronization between two identical chaotic systems via nonlinear control technique. The used system is complex Rössler system. The maximal Lyapunov exponent and the sensitivity on initial conditions are calculated of such system and they emphasis its chaotic behavior. The nonlinear control method has been applied successfully to synchronize the proposed system. Base...