分叉
分段线性函数
非线性系统
数学
分段
控制理论(社会学)
数学分析
基质(化学分析)
倍周期分岔
集合(抽象数据类型)
应用数学
计算机科学
物理
材料科学
控制(管理)
量子力学
人工智能
复合材料
程序设计语言
作者
Agustín Hernández Rocha,Damián H. Zanette,Marian Wiercigroch
标识
DOI:10.1016/j.cnsns.2023.107193
摘要
This article proposes a semi-analytical method to investigate the dynamics and bifurcation scenarios of piecewise linear oscillators. The method is based on a mapping technique with a matrix structure that allows easy and rapid construction of any periodic orbit. When validated against direct numerical integration simulations, a good correlation and an accurate prediction of bifurcation phenomena were shown. The method is applied to analyse the nonlinear dynamic responses and bifurcations scenarios causes by changes of stiffness and viscous damping. A set of minimum conditions that the system must meet to present period doubling bifurcations and sub-harmonic orbits was given.
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