CNCS Center for Nonlinear and Complex Systems
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Publications [#339683] of Lawrence N. Virgin

Papers Published

  1. Virgin, LN; Thompson, JMT, Applications of Bifurcation: Nonautonomous Periodically-Excited Systems, International Journal of Bifurcation and Chaos, vol. 28 no. 11 (October, 2018), pp. 1830035-1830035, World Scientific Pub Co Pte Lt [doi]
    (last updated on 2019/09/16)

    © 2018 World Scientific Publishing Company. This paper reviews some examples of bifurcation in low-order, periodically driven dynamical systems. The generic loss of stability is a key component in dynamical systems theory, and provides a central pillar in assessing qualitative changes in system dynamics. Although bifurcation tends to be thought of in rather abstract, theoretical terms, we show that it also provides a compelling framework to guide laboratory-based experiments. Both local and global stability transitions and their connection are illustrated in this accessible, review-like pictorial overview of simple mechanical/structural systems driven toward instability.