Control of generalized Julia sets

Control of generalized Julia sets generated from the discrete system znþ1 ¼ zr n þ c and the continuous system dz dt ¼ zr þ c is achieved by the auxiliary reference feedback control method respectively in this paper. Also, for two different systems with different system parameters, their Julia sets are coupled and eventually are changed to be the same one, which realizes the coupling between two different Julia sets.