Compound-Combination Synchronization for Fractional Hyperchaotic Models with Different Orders

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. These are many areas applied sciences, such as physics secure communication. used an example synchronization. numerical simulations show good agreement results. complexity existence additional variables mean that it safer interesting transmit receive signals communication theory. scheme considered generalization types literature other examples can be similar studies.