具有未知复参数的分数阶复变量混沌系统的复杂广义投影同步

Zhang Ruoxun, Feng Shiwen, 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 Apr 17;21(4):407. doi: 10.3390/e21040407.

This paper investigates the problem of complex modified projective synchronization (CMPS) of fractional-order complex-variable chaotic systems (FOCCS) with unknown complex parameters. By a complex-variable inequality and a stability theory for fractional-order nonlinear systems, a new scheme is presented for constructing CMPS of FOCCS with unknown complex parameters. The proposed scheme not only provides a new method to analyze fractional-order complex-valued systems 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）的复杂修正投影同步（CMPS）问题。利用复变量不等式和分数阶非线性系统的稳定性理论，提出了一种构造具有未知复参数的FOCCS的CMPS的新方案。该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。