Experimental continuation of periodic orbits through a fold

J Sieber, A Gonzalez-Buelga, SA Neild, DJ Wagg, B Krauskopf

Research output: Working paperWorking paper and Preprints

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Abstract

We present a continuation method that enables one to track or continue branches of periodic orbits directly in an experiment when a parameter is changed. A control-based setup in combination with Newton iterations ensures that the periodic orbit can be continued even when it is unstable. This is demonstrated with the continuation of initially stable rotations of a vertically forced pendulum experiment through a fold bifurcation to find the unstable part of the branch.
Original languageEnglish
Publication statusPublished - Apr 2008

Keywords

  • experimental bifurcation analysis
  • fold bifurcation
  • vertically forced pendulum

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