In this article, the active control method is used for hybrid synchronization between two fractional order hyperchaotic systems, Chen hyperchaotic system taken as the master system and the other fractional order hyperchaoticLu system taken as slave system separately. The fractional derivative is described in Caputo sense. Numerical simulation results which are carried out using Adams–Bashforth–...

The fractional order systems have been used successfully to model the development of induced currents in synchronous generators. State-space theory can be generalized to give a dynamical representation of fractional order systems. In this paper, modal analysis of an electrical network modeled by fractional order systems is presented. For stability aspects, a trade-off between modal and frequenc...

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...