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Chaos and bifurcation of Mathieu-Duffing system with square damping term

  • 【作者】Xie, Jiaquan,Wang, Haijun,Shi, Wei,Zhang, Jiale,Huo, Yiting,Cao, Jialin,Gao, Qiang
  • 【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...
  • 【文献类型】 期刊
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