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

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.