Singularity analysis of Duffing-van der Pol system with two bifurcation parameters under multi-frequency excitations |
| |
Authors: | Zhao-hong Qin Yu-shu Chen |
| |
Institution: | 1. The School of Astronautics,Harbin Institute of Technology,Harbin 150001,P.R.China 2. The School of Astronautics,Harbin Institute of Technology,Harbin 150001,P.R.China;The School of Mechanical Engineering,Tianjin University,Tianjin 300072,P.R.China |
| |
Abstract: | Bifurcation properties of a Duffing-van der Pol system with two parameters under multi-frequency excitations are studied. Three cases are discussed:(1)λ1 is considered as bifurcation parameter,(2)λ2 is considered as bifurcation parameter, and(3)λ1 and λ2 are both considered as bifurcation parameters. According to the definition of transition sets, the whole parametric space is divided into several different persistent regions by the transition sets for different cases. The bifurcation diagrams in different persistent regions are obtained, which provides a theoretical basis for optimal design of the system. |
| |
Keywords: | Duffing-van der Pol system two parameters singularity analysis |
本文献已被 维普 万方数据 SpringerLink 等数据库收录! |
| 点击此处可从《应用数学和力学(英文版)》浏览原始摘要信息 |
| 点击此处可从《应用数学和力学(英文版)》下载免费的PDF全文 |