Synchronization and Circuit Experiment Simulation of Chaotic Time-delay Systems

Time-delay system possesses an infinite-dimensional state space, it has abundant dynamic behaviors in nonlinear fields. In this paper a novel chaotic time-delay system was presented, and asymptotical synchronization conditions of it were proved based on Lyapunov-Krasovskii functional theory. The impacts of the synchronous control parameters, the initial value and delay time (range value) were analyzed in detail. The oscillator circuit of the new time-delay chaotic system was designed by using Multisim software, electronic components were selected suitably by synchronization scheme. Experiment result shows the design is effective and feasible, and it can be applied in many time-delay dynamic scopes homoplastically.