Applications of Bifurcation: Nonautonomous Periodically-Excited Systems
2018 ◽
Vol 28
(11)
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pp. 1830035
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Keyword(s):
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.
Keyword(s):
Keyword(s):
2021 ◽
Vol 31
(5)
◽
pp. 053110
2017 ◽
Vol 60
(2)
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pp. 364-371
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