具有未知复参数的分数阶复混沌系统的自适应同步

Zhang Ruoxun, Liu Yongli, Yang Shiping

College of Primary Education, Xingtai University, Xingtai 054001, China.

College of Physics Science and Information Engineering, Hebei Normal University, Shijiazhuang 050016, China.

Entropy (Basel). 2019 Feb 21;21(2):207. doi: 10.3390/e21020207.

This paper investigates the problem of synchronization of fractional-order complex-variable chaotic systems (FOCCS) with unknown complex parameters. Based on the complex-variable inequality and stability theory for fractional-order complex-valued system, a new scheme is presented for adaptive synchronization of FOCCS with unknown complex parameters. The proposed scheme not only provides a new method to analyze fractional-order complex-valued system but also significantly reduces the complexity of computation and analysis. Theoretical proof and simulation results substantiate the effectiveness of the presented synchronization scheme.

本文研究了具有未知复参数的分数阶复变量混沌系统（FOCCS）的同步问题。基于分数阶复值系统的复变量不等式和稳定性理论，提出了一种用于具有未知复参数的FOCCS自适应同步的新方案。所提出的方案不仅为分析分数阶复值系统提供了一种新方法，而且显著降低了计算和分析的复杂度。理论证明和仿真结果证实了所提出同步方案的有效性。