摘要
针对一类含有平方项的Liu混沌系统,对该系统平衡点进行稳定性分析,并利用相图、分岔图以及Lyapunov指数对系统参数变化时的动力学行为进行分析。利用Multisim软件搭建对应的混沌电路并进行仿真,最后基于Lyapunov原理设计出自适应同步控制器。仿真结果验证该系统具有丰富的动力学特性,并且验证了混沌电路系统的可实现性及自适应同步控制方法的有效性。
For a class of Liu chaotic systems with square terms, the equilibrium points of the system are analyzed, and the dynamic behavior of the system when the parameters change is analyzed by using the phase plot, bifurcation chart and Lyapunov index. The corresponding chaotic circuit was built and simulated using Multisim software, and finally an adaptive synchronization controller was designed based on the Lyapunov principle. Simulation results verify that the system has rich dynamic characteristics, the realizability of the chaotic circuit system and the effectiveness of the adaptive synchronous control method.
作者
陈恒
代文鹏
李勇兴
颜廷洋
Chen Heng;Dai Wenpeng;Li Yongxing;Yan Tingyang(Xijing University,Xi’an 710123,China;Shandong Maritime Vocational College,Weifang 262408,China;Qilu Institute of Technology,Jinan 250200,China)
出处
《廊坊师范学院学报（自然科学版）》
2022年第3期29-34,共6页
Journal of Langfang Normal University(Natural Science Edition)
基金
陕西省重点研发计划(2018GY-091)
西安市科技创新引导项目(201805043YD21CG27-2)
陶瓷工业粉尘超低排放及回收利用技术示范项目(2017134SF/WM028)。
