Experimental continuation of periodic orbits through a fold

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

doi:10.1103/PhysRevLett.100.244101

Experimental continuation of periodic orbits through a fold

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

Quantum Metrology & Laser Applications

Research output: Contribution to Journal › Article › Academic › peer-review

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 language	English
Article number	244101
Journal	Physical Review Letters
Volume	100
Issue number	24
DOIs	https://doi.org/10.1103/PhysRevLett.100.244101
Publication status	Published - 19 Jun 2008

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title = "Experimental continuation of periodic orbits through a fold",

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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AU - Gonzalez-Buelga, A.

AU - Neild, S.A.

AU - Wagg, D.J.

AU - Krauskopf, B.

PY - 2008/6/19

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AB - 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.

U2 - 10.1103/PhysRevLett.100.244101

DO - 10.1103/PhysRevLett.100.244101

M3 - Article

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VL - 100

JO - Physical Review Letters

JF - Physical Review Letters

IS - 24

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Experimental continuation of periodic orbits through a fold

Abstract

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