物理学报Issue(22)：220505-1-220505-9,9.DOI:10.7498/aps.62.220505
时滞复Lorenz混沌系统特性及其自时滞同步
Characteristics of time-delay complex Lorenz chaotic system and its self-synchronization of time delay
摘要
Abstract
Self-synchronization of time delay implies that the synchronization between the time-delay system and the original system keeps the structure and parameters of systems unchanged, thus these various problems produced by time-delay in practice are avoided. Taking a time-delay complex Lorenz system for example, we investigate its dynamic characteristics and the influence of of time lag factor. A nonlinear feedback controller is designed to realize the self-synchronization of time delay of the complex Lorenz system. Numerical simulations verify the effectiveness of the presented controller. The controller adopts some states to realize the synchronization of all states. It is simple in principle and easy to implement in engineering.关键词
时滞系统/复混沌系统/自时滞同步/Lyapunov指数Key words
time-delay system/complex chaotic systems/self-synchronization of time delay/Lyapunov exponent引用本文复制引用
张芳芳,刘树堂,余卫勇..时滞复Lorenz混沌系统特性及其自时滞同步[J].物理学报,2013,(22):220505-1-220505-9,9.基金项目
国家自然科学基金(批准号:61273088,10971120,61001099)和山东省自然科学基金(批准号:ZR2010FM010)资助的课题.*Project supported by the National Natural Science Foundation of China (Grant Nos.61273088,10971120,61001099) and the Nature Science Foundation of Shandong Province, China (Grant No. ZR2010FM010) （批准号:61273088,10971120,61001099）
