【刊名】Zhendong yu Chongji/Journal of Vibration and Shock
【作者单位】aCollege of Mathematies and Statistics, Taiyuan Normal University, Jinzhong, 030619, China;bInter-discipline Collaborative Innovation Center of Mathematics and Mechanics, Taiyuan Normal University, Jinzhong, 030619, China;cCollege of Mechanical and Transportation Engineering, Taiyuan University of Technology, Taiyuan, 030024, China
【年份】2024
【卷号】Vol.43 No.7
【页码】168-174,195
【ISSN】1000-3835
【关键词】Lyapunov first method Mathieu-Duffing system multi-scale method period-doubling bifurcation square damping term
【摘要】 Here, resonance and chaos of Mathieu-Duffing system with square damping term were studied. The multi-scale method was used to explore amplitude-frequency and phase-frequency characteristics of main resonance of the system under the combined excitatio...