Experimental continuation of periodic orbits through a fold

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

Research output: Contribution to journalArticle (Academic Journal)peer-review

61 Citations (Scopus)

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.
Translated title of the contributionExperimental continuation of periodic orbits through a fold
Original languageEnglish
Pages (from-to)1 - 4
Number of pages4
JournalPhysical Review Letters
Volume100
Issue number244101
DOIs
Publication statusPublished - Jun 2008

Bibliographical note

Publisher: American Physical Society

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