一类分段非线性轧机辊系系统的奇异非混沌动力学研究  

RESEARCH ON STRANGE NONCHAOTIC DYNAMICS OF PIECEWISE NONLINEAR ROLLING MILL SYSTEM

作　　者：曾青[1] 乐源[1] 李高磊 Zeng Qing;Yue Yuan;Li Gaolei(School of Mechanics and Engineering,Southwest Jiaotong University,Chengdu 610031,China)

机构地区：[1]西南交通大学力学与航空航天学院应用力学与结构安全四川省重点实验室,成都610031

出　　处：《动力学与控制学报》2022年第3期1-7,共7页Journal of Dynamics and Control

基　　金：国家自然科学基金资助项目(11672249,12072291,11732014)。

摘　　要：考虑一类拟周期激励的分段非线性轧机辊系系统,发现了丰富的奇异非混沌动力学现象.揭示了该系统中奇异非混沌吸引子的产生机理.通过数值结果发现有三种路径可以演变为奇异非混沌吸引子,即分形路径、阵发路径和Heagy-Hammel路径.通过最大李雅普诺夫指数验证其非混沌特性;采用有理数逼近无理数和相敏感函数刻画其奇异特性.Considering a class of quasi-periodic excited piecewise nonlinear rolling mill system,a wealth of singular and nonchaotic dynamic phenomena are discovered.In this system,we mainly study generation mechanism of strange nonchaotic attractors and verification of the singularity of attractors.It is found through numerical methods that three routes can evolve into strange nonchaotic attractors,namely fractal route,intermittency route and Heagy-Hammel route.The largest Lyapunov exponent is used to verify its nonchaotic characteristics,and its strange property is verified by a rational number approximation to irrational number and phase sensitivity function.

关 键 词：轧机辊系系统 拟周期激励 奇异非混沌吸引子 李雅普诺夫指数 相敏感函数 

分 类 号：O313[理学—一般力学与力学基础]