Global synchronization between two different fourth-order hyperchaotic systems

The synchronization of two different fourth-order hyperchaotic systems is investigated in this paper. Firstly, the fourth-order hyperchaotic Rabinovich system and the fourth-order hyperchaotic Lorenz-Stenflo system are given in the matrix forms and the synchronization model for these two different hyperchaotic systems is established by designing a suitable controller. And then, a synchronization criterion is analytically proven in algebraic form and further optimized. Finally, a numerical example is provided to verify that the result is effective.