• ISSN 0258-2724
  • CN 51-1277/U
  • EI Compendex
  • Scopus
  • Indexed by Core Journals of China, Chinese S&T Journal Citation Reports
  • Chinese S&T Journal Citation Reports
  • Chinese Science Citation Database
Volume 21 Issue 2
Apr.  2008
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Article Contents
XU Huidong, XIE Jianhua. Period-Doubling Bifurcation of Single-Degree-of-Freedom Piecewise-Linearity System with Clearance[J]. Journal of Southwest Jiaotong University, 2008, 21(2): 227-231.
Citation: XU Huidong, XIE Jianhua. Period-Doubling Bifurcation of Single-Degree-of-Freedom Piecewise-Linearity System with Clearance[J]. Journal of Southwest Jiaotong University, 2008, 21(2): 227-231.

Period-Doubling Bifurcation of Single-Degree-of-Freedom Piecewise-Linearity System with Clearance

  • Received Date: 23 Jul 2007
  • Publish Date: 25 Apr 2008
  • The period-doubling bifurcation and chaos of periodic motions of a single-degree-of-freedom piecewise linear system with clearance was studied.The switching matrix for the system was obtained,and the period-doubling bifurcation of periodic motions was analyzed by the Floquet theory.The poincaré map was established,and the period-doubling bifurcations and chaotic behaviors in the non-smooth system were further investigated by means of numerical simulation.The results show that there is a Floquet multiplier close to-1 for the system,and period-doubling bifurcations occur when the excitation frequency approaches a critical bifurcation point.

     

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