Phys. Rev. Lett. 100, 244101 (2008) [4 pages]Experimental Continuation of Periodic Orbits through a Fold
See accompanying Physics Focus 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. © 2008 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.100.244101
DOI:
10.1103/PhysRevLett.100.244101
PACS:
05.45.Gg, 02.30.Oz, 45.80.+r
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