分数阶Jerk系统的动力学分析及在保密通信方面的应用  

Fractional Jerk System Dynamics Analysis and Application of a Confidential Communication

作　　者：翟海峰[1] 张晓刚[1] 漆翻慧[1] 

机构地区：[1]兰州交通大学数理与软件工程学院,甘肃兰州730070

出　　处：《咸阳师范学院学报》2011年第6期15-19,共5页Journal of Xianyang Normal University

摘　　要：通过Adams-Bashforth-Moulton方法和predictor corrector algorithm方法并结合分数阶稳定性理论,辅助以相图、脉冲响应曲线、分叉图等分析了Jerk系统的动力学行为;引入反馈控制法对系统进行控制,最终得到理想的结果,并将其应用于保密通讯。Matlab数值仿真验证了其有效性。By Adams-Bashforth-Moulton methods and predictor-corrector algorithm method and stability theory of fractional integration, support to the phase diagram, the pulse response curves, bifurcation diagrams and other analysis of the dynamic system behavior Jerk; into the system feedback control law control, and ultimately get the desired results, and applied to secure communications. Matlab numerical simulation to verify its effectiveness.

关 键 词：分数阶混沌系统 Adams—Bashforth—Moulton方法 PREDICTOR CORRECTOR algorithm法 反馈控制 保密通信 

分 类 号：O415.5[理学—理论物理]