Experimental continuation of periodic orbits through a fold

J. Sieber, A. Gonzalez-Buelga, S.A. Neild, D.J. Wagg, B. Krauskopf

Research output: Contribution to JournalArticleAcademicpeer-review


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
Article number244101
JournalPhysical Review Letters
Issue number24
Publication statusPublished - 19 Jun 2008


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