空军工程大学学报（自然科学版）2012，Vol.13Issue(5)：90-94,5.DOI:10.3969/j.issn.1009-3516.2012.05.019
异结构超混沌系统的完全同步与反相同步控制
The Control of Complete Synchronization and Anti-phase Synchronization for Hyper-chaotic Systems of Different Structures
摘要
Abstract
Based on the Lyapunov stability theory and nonlinear dynamic theory, a controller is designed, the control of complete synchronization and anti - phase synchronization between 3 - dimensional and 4 - dimensional chaotic systems with different structures is implemented, and the two kind of synchronization are respectively proved strictly in mathematics. In this paper, taking a new 3D autonomous system for example, hyper -chaotic system is achieved by introducing an additional state variable to the new 3D chaotic system, thus a complete synchronization and anti - phase synchronization between chaotic systems with different structures and dimensions are investigated. Finally, by the Runge — Kutta scheme numerical simulation and from the simulation analysis of the error system between driving and coupled system, the graph of the errors can show that errors will become zero in short time, the numerical simulation shows the validity of the theoretical analysis and the effectiveness of the proposed method.关键词
超混沌系统/完全同步/反相同步/非线性控制器Key words
hyper - chaotic system/ complete synchronization/ anti - phase synchronization/ nonlinear controller分类
信息技术与安全科学引用本文复制引用
董俊,张广军,姚宏,王珏,李明阳,赵静波..异结构超混沌系统的完全同步与反相同步控制[J].空军工程大学学报（自然科学版）,2012,13(5):90-94,5.基金项目
国家自然科学基金资助项目(10872156 （）
51175510) （）
航空科学基金资助项目(20111396011) （20111396011）
陕西省自然科学基础研究计划资助项目(2012JM8035) （2012JM8035）
