Experimental continuation of periodic orbits through a fold

Details Experimental continuation of periodic orbits through a fold Experimental continuation of periodic orbits through a fold

2008-04-02

arxiv.org/abs/0804.0320v3

Nonlinear Sciences

Chaotic Dynamics

4 pages

Scientific paper

10.1103/PhysRevLett.100.244101

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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