GUO Yong, XIE Jian-hua. N-S Bifurcation of an Oscillator With Dry Friction in 1∶4 Strong Resonance[J]. Applied Mathematics and Mechanics, 2013, 34(1): 18-26. doi: 10.3879/j.issn.1000-0887.2013.01.003
Citation: GUO Yong, XIE Jian-hua. N-S Bifurcation of an Oscillator With Dry Friction in 1∶4 Strong Resonance[J]. Applied Mathematics and Mechanics, 2013, 34(1): 18-26. doi: 10.3879/j.issn.1000-0887.2013.01.003

N-S Bifurcation of an Oscillator With Dry Friction in 1∶4 Strong Resonance

doi: 10.3879/j.issn.1000-0887.2013.01.003
  • Received Date: 2012-03-30
  • Rev Recd Date: 2012-05-12
  • Publish Date: 2013-01-15
  • An oscillator with dry friction under external excitation was considered. The Poincaré map was established according to the series solution near equilibrium in the 1∶4 resonance case. By theory of normal forms, the map was reduced into its normal form. It is shown that there exist phenomena of N-S bifurcations. The theoretical results are verified by numerical simulations.
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