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Experimental continuation of periodic orbits through a fold

Research output: Working paperWorking paper and Preprints

Original languageEnglish
Publication dateApr 2008
StatePublished

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.

Documents

  • Preprint

    Preprint (usually an early version) , 351 KB, PDF-document

Research areas

  • experimental bifurcation analysis, fold bifurcation, vertically forced pendulum

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  1. Experimental continuation of periodic orbits through a fold

    Research output: Contribution to journalArticle