The synchronization of fractional-order Rössler hyperchaotic systems

The synchronization of fractional-order hyperchaotic systems is studied, using the Rössler system as an example. Based on the Laplace transformation theory, sufficient conditions for global synchronization of the systems are given analytically. Also, the variational iteration method is implemented to give the approximate solution for the fractional-order error system of the two identical hyperchaotic systems, which is in good agreement with the approximate solution using the classical Laplace transformation method. Numerical methods and simulations on the master–slave systems are presented to verify the results obtained.