Generalized synchronization of generalized Lorenz-like systems
类广义Lorenz系统的广义同步

Based on the existing canonical form of systems, the generalized synchronization of generalized Lorenz-like systems, including generalized Lorenz systems, hyperbolic-type generalized Lorenz systems and Liu-Liu-Liu-Liu system, is investigated in this paper. Because a great number of chaotic systems can be transformed to generalized Lorenz canonical form systems by means of a specific map, a controller is thus designed to achieve complete synchronization of systems after conversion such that systems before conversion can achieve generalized synchronization. Moreover, the method is respectively tested in both topologically equivalent and unequivalent systems, and the numerical results demonstrate the effectiveness of the theoretical analysis.