Generalized synchronization of Julia sets
Julia集的广义同步

The generalized synchronization of two different Julia sets with coupling is investigated. Being different from the past studies on Julia set which were limited to the properties and the graph of a single Julia set, our work of generalized synchronization is concerned with two different Julia sets. The classical complex quadratic polynomial system zn+1 = z2n+c is taken as an example, to which we respectively apply the linear and nonlinear generalized synchronization methods and achieve the generalized synchronization of Julia sets with two different parameters. Simulation results show the efficacy of these methods.