文献类型：期刊文献

英文题名：Torus and Subharmonic Motions of a Forced Vibration System in 1: 5 Weak Resonance

作者：Guo, Yong

第一作者：郭勇

通信作者：Guo, Y[1]|[144409b6bc0494589da87]郭勇;

机构：[1]Guizhou Inst Technol, Sch Civil Engn, Guiyang, Peoples R China

第一机构：贵州理工学院土木工程学院

通信机构：corresponding author), Guizhou Inst Technol, Sch Civil Engn, Guiyang, Peoples R China.|贵州理工学院土木工程学院;贵州理工学院;

年份：2020

卷号：2020

外文期刊名：ADVANCES IN MATHEMATICAL PHYSICS

收录：;Scopus(收录号：2-s2.0-85092635049);WOS:【SCI-EXPANDED(收录号:WOS:000578347800001)】；

基金：This work is supported by XJGC20190909.

语种：英文

摘要：The Neimark-Sacker bifurcation of a forced vibration system is considered in this paper. The series solution to the motion equation is obtained, and the Poincare map is established. The fixed point of the Poincare map is guaranteed by the implicit function theorem. The map is transformed into its normal form at the fifth-order resonance case. For some parameter values, there exists the torusT1. Furthermore, the phenomenon of phase locking on the torusT1is investigated and the parameter condition under which there exists subharmonic motion on the torusT1is determined.