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Experimental Continuation of Periodic Orbits through a Fold

J. Sieber, A. Gonzalez-Buelga, S. A. Neild, D. J. Wagg, and B. Krauskopf
Phys. Rev. Lett. 100, 244101 – Published 19 June 2008
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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.

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  • Received 1 April 2008

DOI:https://doi.org/10.1103/PhysRevLett.100.244101

©2008 American Physical Society

Authors & Affiliations

J. Sieber

  • School of Engineering, University of Aberdeen, Kings College, Aberdeen, AB24 3UE, United Kingdom

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

  • Faculty of Engineering, University of Bristol, Queen’s Building, University Walk, Bristol, BS8 1TR, United Kingdom

See Also

Spin Control

Mike Wofsey
Phys. Rev. Focus 22, 1 (2008)

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Issue

Vol. 100, Iss. 24 — 20 June 2008

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