Experimental continuation of periodic orbits through a fold

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

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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
Pages (from-to)24101
Number of pages1
JournalPhysical Review Letters
Volume100
Issue number24
DOIs
Publication statusPublished - 2008

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