物理学报2012，Vol.61Issue(16)：115-120,6.
一种异结构分数阶混沌系统投影同步的新方法
A new method for projective synchronization of different fractional order chaotic systems
摘要
Abstract
Based on the Lyapunov theory as the breakthrough point, and based on the fractional order system stability theory and properties of fractional nonlinear system, a kind of fractional-order chaotic system is proposed to determine whether the new theorem is stable, and the theory is used for fractional order control and synchronization of chaotic systems, and gives a mathematical proof process to strictly ensure the correctness of the method and general applicability. Then the proposed stability theorem is used to achieve the projective synchronization of fractional Lorenz chaotic system with fractional order chaotic Liu system, as well as the projective synchronization of four-dimensional hyperchaos of fractional order systems of different structures. In the stability theorem solving the fractional balance point and the Lyapunov index are avoided, therefore a control law can be easily selected, and the obtained controller has the advantages of simple structure and wide range of application. Finally, the expected numerical simulation results are achieved, which further proves the correctness and universal applicability of the stability theorem.关键词
分数阶混沌系统/稳定性/Lyapunov理论/投影同步Key words
fractional-order chaotic systems/stability/Lyapunov theory/projective synchronization分类
数理科学引用本文复制引用
黄丽莲,马楠..一种异结构分数阶混沌系统投影同步的新方法[J].物理学报,2012,61(16):115-120,6.基金项目
国家自然科学基金（批准号：61172038）和中央高校基本科研业务费（批准号：HEUCFT1203）资助的课题. （）
