摘要
提出了一个三维的保守混沌系统,在MATLAB中绘制它的类吸引子图、相图、Lyapunov指数图及分析它的动力学特性,可以验证该系统是一个保守混沌系统。之后对系统进行正弦项变换,得到了一个新的三维系统,对变换后的系统进行分析,可以验证其也是保守混沌系统,且具有无穷多共存类混沌吸引子。最后,构造了一种多通道误差系统及同步控制方案设计,以变换后的具有无穷多共存类吸引子的系统为研究对象进行误差及同步控制设计。仿真结果验证了多通道误差系统及同步控制方案的有效性。
A three⁃dimensional conservative chaotic system is proposed.Its attractor like diagram,phase diagram,and Lyapunov exponent diagram are drawn in MATLAB and its dynamics characteristics are analyzed.It can be verified that the system is a conservative chaotic system.Then,the system is transformed with the sinusoidal term,and a new three⁃dimensional system is obtained.By analyzing the transformed system,it can be verified that it is also a conservative chaotic system and has infinite coexistence chaotic attractors.Finally,a multi⁃channel error system and synchronization control scheme is constructed.The transformed system with infinite coexistence attractors is taken as a research object to design the error and synchronization control.Simulation results verify the effectiveness of the multi⁃channel error system and synchronous control scheme.
作者
颜闽秀
林建峰
谢俊红
YAN Minxiu;LIN Jianfeng;XIE Junhong(College of Information Engineering,Shenyang University of Chemical Technology,Shenyang 110142,China;Key Laboratory for Industrial Environment-Resources Cooperative Control and Optimization Technology,Shenyang 110142,China)
出处
《南京邮电大学学报（自然科学版）》
北大核心
2021年第6期66-74,共9页
Journal of Nanjing University of Posts and Telecommunications：Natural Science Edition
基金
中国-北马其顿政府间科技合作(国科外[2019]22:6-8)资助项目。
关键词
共存类吸引子
保守混沌系统
多通道误差设计
同步控制
coexistence attractor
conservative chaotic system
multi⁃channel error design
synchronous control
