基于参数自适应控制的分数阶离散logistic映射同步  

Synchronization of fractional discrete logistic map based on parametric adaptive control

作　　者：胡声丹[1] 王艺红[1] 

机构地区：[1]上海师范大学天华学院,上海201815

出　　处：《应用数学与计算数学学报》2015年第2期232-239,共8页Communication on Applied Mathematics and Computation

基　　金：浙江省自然科学基金资助项目(LQ12A01010);上海市教委资助项目(ZZth13025);上海师范大学天华学院校内资助项目(Z1306d)

摘　　要：讨论了分数阶离散混沌系统驱动系统和相应系统都是相同混沌映射、但是参数不同时的同步问题,采用了参数自适应算法实现了分数阶离散logistic映射的同步,并且给出了同步的充分条件.In this paper, the master-slave synchronization for the fractional differ- ence equation is studied with the same chaotic maps but have different parameters. We proposed a parametric adaptive control algorithm, and the numerical simula- tion shows that the designed synchronization method can effectively synchronize the fractional logistic map. Furthermore, we obtain a sufficient condition for the synchronization.

关 键 词：分数阶离散混沌系统 参数自适应 同步 

分 类 号：O231[理学—运筹学与控制论] O415.5[理学—数学]