|Title||Applications of Bifurcation: Nonautonomous Periodically-Excited Systems|
|Publication Type||Journal Article|
|Year of Publication||2018|
|Authors||LN Virgin, and JMT Thompson|
|Journal||International Journal of Bifurcation and Chaos|
|Pagination||1830035 - 1830035|
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.
|Short Title||International Journal of Bifurcation and Chaos|