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Analysis of resonance and bifurcation in a fractional order nonlinear Duffing system

  • 【作者】Xueting Bai,Qinle Yang,Jiaquan Xie,Lei Chen
  • 【刊名】Mathematical Methods in the Applied Sciences
  • 【作者单位】JinZhong College of Information, Jinzhong, China Contribution: Data curation, Formal analysis, Software, Supervision, Writing - original draft, Writing - review & editing JinZhong College of Information, Jinzhong, China Contribution: Data curation, Formal analysis, Software Department of Mathematics, Taiyuan Normal University, Jinzhong, China Contribution: Funding acquisition, Software, Supervision, Writing - review & editing Hefei Innovation Research Institute of Beihang University, Hefei, China Lei Chen, Hefei Innovation Research Institute of Beihang University, Hefei, Anhui, China. Contribution: Software, Writing - review & editing
  • 【年份】2023
  • 【卷号】Vol.46 No.5
  • 【页码】5160-5175
  • 【关键词】average method bifurcation Duffing system fractional order system resonance stability analysis 
  • 【摘要】 In this paper, resonance and bifurcation of a nonlinear damped fractional-order Duffing system are studied. The amplitude and phase of the steady-state response of system are obtained by means of the average method, the stability is analyzed, and the...
  • 【文献类型】 期刊
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