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Experimental Tracking of Limit-Point Bifurcations and Backbone Curves Using Control-Based Continuation
January 2017 • Ludovic Renson, David A. W. Barton, Simon A. Neild
Control-based continuation (CBC) is a means of applying numerical continuation directly to a physical experiment for bifurcation analysis without the use of a mathematical model. CBC enables the detection and tracking of bifurcations directly, without the need for a post-processing stage as is often the case for more traditional experimental approaches. In this paper, we use CBC to directly locate limit-point bifurcations of a periodically forced oscillator and track them as forcing parameters are varied. Backbone…