一种新的非线性系统电路及同步设计  

A New Nonlinear System Circuit and its Synchronization Design

作　　者：贾新宇 张朝霞[1] 胡余良 JIA Xinyu;ZHANG Chaoxia;HU Yuliang(School of Mechatronics Engineering and Automation,Foshan University of Science and Technology,Foshan 528225,China;Guangdong Shunde Wei Aisi Robot Co,Ltd.Foshan 528303,China)

机构地区：[1]佛山科学技术学院机电工程与自动化学院,广东佛山528225 [2]广东顺德为艾斯机器人有限公司,广东佛山528303

出　　处：《工业技术创新》2022年第1期97-104,130,共9页Industrial Technology Innovation

基　　金：广东省自然科学基金资助项目(2014A030313739);广州市科技计划项目(201510010124)。

摘　　要：基于Chen系统设计一种新的多翅膀混沌系统。在z方向上对系统进行改进,扩展其鞍焦平衡点,通过偶对称多分段平方函数控制系统,得到多翅膀吸引子。根据Matlab仿真得到理论相图,利用Multisim软件进行电路设计得到数值仿真相图,二者相互吻合,证实了系统的正确性和可实现性。通过求解混沌系统的分岔图和最大Lyapunov指数谱,验证了该系统是混沌系统。分析了混沌系统的非线性动力学行为,通过Matlab,以x^((1))作为驱动变量,实现了混沌同步设计,同步误差处于10^(-16)量级。为混沌科学与信息科学融合建立了可供借鉴的理论模型。A new multi-wing chaotic system was designed based on Chen system.The system was improved in z direction,its saddle-focal equilibrium point was extended,and the multi-wing attractor was obtained by even symmetric multi-segment square function control system.The theoretical phase diagram was obtained by Matlab simulation,and the numerical simulation phase diagram was obtained by circuit design with Multisim software.They were consistent with each other,which proved the correctness and realizability of the system.By solving the bifurcation diagram and the maximum Lyapunov exponent spectrum of the chaotic system,it was verified that the system was actually a chaotic system.The nonlinear dynamic behavior of chaotic system was analyzed,and the chaotic synchronization design was realized by using Matlab with x^((1)) as the driving variable,and the synchronization error was in the order of 10^(-16).Established is a theoretical model for references for the integration of chaos science and information science.

关 键 词：多翅膀混沌系统 CHEN系统 鞍焦平衡点 LYAPUNOV指数谱 混沌同步 

分 类 号：O415.5[理学—理论物理]