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Publication - Dr David Barton

    Experimental tracking of limit-point bifurcations and backbone curves using control-based continuation

    Citation

    Renson, L, Barton, D & Neild, S, 2017, ‘Experimental tracking of limit-point bifurcations and backbone curves using control-based continuation’. International Journal of Bifurcation and Chaos, vol 27.

    Abstract

    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 curves, which capture the overall frequency-amplitude dependence of the system’s forced response, are also traced out directly. The proposed method is demonstrated on a single-degree-of-freedom mechanical system with a nonlinear stiffness characteristic. Results are presented for two configurations of the nonlinearity — one where it exhibits a hardening stiffness characteristic and one where it exhibits softening-hardening.

    Full details in the University publications repository