Experimental continuation of periodic orbits through a fold

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

doi:10.1103/PhysRevLett.100.244101

Experimental continuation of periodic orbits through a fold

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

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

86 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 contribution	Experimental continuation of periodic orbits through a fold
Original language	English
Pages (from-to)	1 - 4
Number of pages	4
Journal	Physical Review Letters
Volume	100
Issue number	244101
DOIs	https://doi.org/10.1103/PhysRevLett.100.244101
Publication status	Published - Jun 2008

Bibliographical note

Publisher: American Physical Society

Access to Document

10.1103/PhysRevLett.100.244101

http://link.aps.org/doi/10.1103/PhysRevLett.100.244101

Handle.net

Persistent link

86 Citations
1 Working paper

Experimental continuation of periodic orbits through a fold
Sieber, J., Gonzalez-Buelga, A., Neild, SA., Wagg, DJ. & Krauskopf, B., Apr 2008.
Research output: Working paper

File

Cite this

@article{2e6443e4f9ba4ba5b055f0cee9e4618b,

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.",

author = "J Sieber and {Gonzalez Buelga}, A and SA Neild and DJ Wagg and B Krauskopf",

note = "Publisher: American Physical Society",

year = "2008",

month = jun,

doi = "10.1103/PhysRevLett.100.244101",

language = "English",

volume = "100",

pages = "1 -- 4",

journal = "Physical Review Letters",

issn = "0031-9007",

publisher = "American Physical Society (APS)",

number = "244101 ",

}

TY - JOUR

T1 - Experimental continuation of periodic orbits through a fold

AU - Sieber, J

AU - Gonzalez Buelga, A

AU - Neild, SA

AU - Wagg, DJ

AU - Krauskopf, B

N1 - Publisher: American Physical Society

PY - 2008/6

Y1 - 2008/6

N2 - 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.

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 (Academic Journal)

C2 - 18643585

SN - 0031-9007

VL - 100

SP - 1

EP - 4

JO - Physical Review Letters

JF - Physical Review Letters

IS - 244101

ER -

Experimental continuation of periodic orbits through a fold

Abstract

Bibliographical note

Access to Document

Handle.net

Fingerprint

Research output

Experimental continuation of periodic orbits through a fold

Cite this