Open AccessBifurcation Analysis of a Four-Dimensional System of Two Symmetric Coupled Nonlinear Oscillators with Clearance
Author(s) -
Zhijun Guo,
Jing Li,
Shaotao Zhu,
Hui Geng
Publication year - 2022
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/2160/1/012072
Subject(s) - bifurcation , nonlinear system , singularity theory , mathematics , heteroclinic bifurcation , transformation (genetics) , bifurcation theory , mathematical analysis , nonlinear dynamical systems , singularity , pitchfork bifurcation , control theory (sociology) , physics , computer science , biochemistry , chemistry , control (management) , quantum mechanics , artificial intelligence , gene
The research gradually highlights vibration and dynamical analysis of symmetric coupled nonlinear oscillators model with clearance. The aim of this paper is the bifurcation analysis of the symmetric coupled nonlinear oscillators modeled by a four-dimensional nonsmooth system. The approximate solution of this system is obtained with aid of averaging method and Krylov-Bogoliubov (KB) transformation presented by new notations of matrices. The bifurcation function is derived to investigate its dynamic behaviour by singularity theory. The results obtained provide guidance for the nonlinear vibration of symmetric coupled nonlinear oscillators model with clearance.