In this paper, we introduce a new type of synchronization for the fractional order (FO) hyperchaotic models with different orders called compound-combination (CCS). Using tracking control method, theorem to calculate analytical controllers which achieve our proposed is described and proved. We introduce, also, FO complex Lü, Chen, Lorenz periodic forcing. The symmetry property found in models. ...

This paper presents a new hyperchaotic system which shows some interesting features, the is 4-dimensional with 4 nonlinearities. An extensive numerical analysis has showed that features and strange behaviors. The includes studying effect of parameters initial conditions. Some important properties parameter set, in hyperchaotic, such as Lyapunov exponents dimension, dissipation symmetry are foun...

In this paper, a new five-dimensional hyperchaotic system is proposed based on the Lü hyperchaotic system. Some of its basic dynamical properties, such as equilibria, Lyapunov exponents, bifurcations and various attractors are investigated. Furthermore, a new secure communication scheme based on generalized function projective synchronization (GFPS) of this hyperchaotic system with an uncertain...