一个参数未知的网格多涡卷超混沌系统的自适应同步  

Adaptive Synchronization of a Grid Multi-scroll Hyper-chaotic System with Unknown Parameters

作　　者：许荣今 李木子 岳立娟[1] XU Rongjin;LI Muzi;YUE Lijuan(School of Physics,Northeast Normal University,Changchun 130024,China)

机构地区：[1]东北师范大学物理学院,长春130024

出　　处：《吉林大学学报（理学版）》2021年第4期965-971,共7页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:10847110);吉林省科技发展计划项目(批准号:20170101058JC).

摘　　要：提出一个网格多涡卷超混沌系统,该系统在x,y两个方向上扩展鞍焦平衡点,可产生任意个数的涡卷.通过Lyapunov指数谱、平衡点、分岔图、复杂度等动力学分析,系统在较大的参数区间内呈超混沌状态,且随着涡卷数的增加,系统的复杂度和最大Lyapunov指数均明显增加,系统的动力学行为变得更复杂.根据Lyapunov指数稳定理论,研究系统参数未知的自适应同步.数值实验结果表明,该方法的同步时间较短,同步效果较好.We proposed a grid multi-scroll hyper-chaotic system.The number of scrolls can be generated by extending saddle focal equilibrium points in x and y directions.Through dynamic analysis of Lyapunov exponential spectrum,equilibrium point,bifurcation diagram,complexity,the system exhibits hyper-chaotic state in a large parameter interval.With the increase of the number of scrolls,the complexity and largest Lyapunov exponent of the system increase obviously,and the dynamic behaviors of the system become more complicated.Based on the Lyapunov stability theory,we studied adaptive synchronization of the grid multi-scroll hyper-chaotic system with unknown parameters.The results of numerical experiments show that the syschronization time is short,and the synchronization effect is better.

关 键 词：网格多涡卷吸引子 超混沌系统 参数未知自适应同步 复杂度 

分 类 号：O545[理学—物理]