首页 | 本学科首页   官方微博 | 高级检索  
     

新四维耗散非线性系统动力学行为分析及电路设计
引用本文:瞿民凯,汤 琼,赵思远,黄驿婷,罗芳文. 新四维耗散非线性系统动力学行为分析及电路设计[J]. 湖南工业大学学报, 2023, 37(5): 17-27
作者姓名:瞿民凯  汤 琼  赵思远  黄驿婷  罗芳文
作者单位:湖南工业大学 理学院
基金项目:湖南省自然科学基金资助项目(2023JJ50164)
摘    要:在三维混沌系统的基础上,通过非线性反馈控制,构造了一个新的四维超混沌系统。分析了该系统平衡点的稳定性,运用相图、分岔图、Lyapunov指数谱、庞加莱截面图等方法,对系统随参数变化呈周期、混沌、超混沌状态的动力学行为进行了分析。分别利用有限元方法和Runge-Kutta方法求得该系统的数值解,并进行了对比。最后设计了该系统的模拟电路,验证了该系统的可实现性。

关 键 词:超混沌系统;分岔图;Lyapunov指数谱;有限元方法;电路实现
收稿时间:2023-01-01

Dynamic Behavior Analysis of a Novel Four-Dimensional Dissipative Nonlinear System with Its Circuit Design
QU Minkai,TANG Qiong,ZHAO Siyuan,HUANG Yiting,LUO Fangwen. Dynamic Behavior Analysis of a Novel Four-Dimensional Dissipative Nonlinear System with Its Circuit Design[J]. Journal of Hnnnan University of Technology, 2023, 37(5): 17-27
Authors:QU Minkai  TANG Qiong  ZHAO Siyuan  HUANG Yiting  LUO Fangwen
Abstract:On the basis of the three-dimensional chaotic system, a new four-dimensional hyperchaotic system is constructed through nonlinear feedback control. An analysis has been made of the stability of the equilibrium point of the system, followed by a further analysis of the dynamic behavior of the system in periodic, chaotic and hyperchaotic states with parameter changes by using phase diagram, bifurcation diagram, Lyapunov exponential spectrum, Poincaré cross-sectional diagram as well as other methods. The numerical solutions of the system can be obtained by adopting finite element method and Runge-Kutta method respectively, accompanied by a comparison between them. Finally, the feasibility of the system can be verified with the designed system analog circuit.
Keywords:
点击此处可从《湖南工业大学学报》浏览原始摘要信息
点击此处可从《湖南工业大学学报》下载全文
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号