CNCS Center for Nonlinear and Complex Systems
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Publications [#282340] of Lawrence N. Virgin

Papers Published

  1. Virgin, LN; Waite, JJ; Wiebe, R, Co-existing responses in a harmonically-excited nonlinear structural system, Conference Proceedings of the Society for Experimental Mechanics Series, vol. 2 (January, 2014), pp. 1-9, Springer International Publishing, ISSN 2191-5644, ISBN 9783319045214 [doi]
    (last updated on 2019/09/20)

    A key feature of many nonlinear dynamical systems is the presence of co-existing solutions, i.e, nonlinear systems are often sensitive to initial conditions. While there have been many studies to explore this behavior from a numerical perspective, in which case it is trivial to prescribe initial conditions (for example using a regular grid), this is more challenging from an experimental perspective. This paper will discuss the basins of attraction in a simple mechanical experiment. By applying both small and large stochastic perturbations to steady-state behavior, it is possible to interrogate the initial condition space and map-out basins of attraction as system parameters are changed. This tends to provide a more complete picture of possible behavior than conventional bifurcation diagrams with their focus on local steady-state behavior. © The Society for Experimental Mechanics, Inc. 2014.