基于Adomian分解法的一类新分数阶超混沌系统的动力学分析及自适应控制  

Dynamic Analysis and Adaptive Control on a New Class of Fractional-order Hyperchaotic Systems Based on Adomian Decomposition Method

作　　者：代文鹏 陈恒[2] 李勇兴 颜廷洋 DAI Wenpeng;CHEN Heng;LI Yongxing;YAN Tingyang(School of Intelligent Engineering,Yantai Institute of Science and Technology,Shandong Yantai 265600,China;Faculty of Science,Xijing University,Shaanxi Xi'an 710123,China;School of Mechanical and Electrical Engineering,Qilu Institute of Technology,Shandong Jinan 250200,China)

机构地区：[1]烟台科技学院智能工程学院,山东潍坊265600 [2]西京学院理学院,陕西西安710123 [3]齐鲁理工学院机电学院,山东济南250200

出　　处：《河北师范大学学报（自然科学版）》2023年第2期130-139,共10页Journal of Hebei Normal University：Natural Science

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)。

摘　　要：运用Adomian分解法对一类具有正弦非线性项的新超混沌系统进行分数阶分析,对该系统进行了稳定性分析,并利用相图、分岔图以及Lyapunov指数谱对系统参数变化时的动力学行为进行了分析.最后,设计了驱动系统的自适应同步控制器.仿真结果验证了该系统周期到混沌运动的丰富的动力学特性及驱动系统自适应同步控制的有效性.The adomian decomposition method is used to analyze the stability of a class of new hyperchaotic systems with sinusoidal nonlinear terms.The phase diagram, bifurcation diagram and Lyapunov exponent are used to analyze the dynamic behavior of the system with varying parameters. Finally, an adaptive synchronization controller for the drive system is designed. The simulation results verify the dynamic characteristics of the system from period to chaos and the effectiveness of the adaptive synchronization control.

关 键 词：正弦非线性项 稳定性分析 自适应同步 

分 类 号：O322[理学—一般力学与力学基础]