Time-delay perturbation Lorenz system and its synchronous circuit realization

A four-dimensional chaotic time-delay system with multiple positive Lyapunov exponents is presented based on Lorenz system. Some of its basic dynamical properties are studied, and the switchable circuit of the new system is designed by using filter network technique. The conditions for synchronization between two identical higher-order coupled time-delay systems are put forward by using Lyapunov method. The proposed method is also applied to design synchronous control circuits. Experiment results show that this time-delay system has abundant dynamical behaviors; the designed controller is easily to be implemented in practice; better synchronous performances can be achieved by adjusting component values.