Applications of Bifurcation: Nonautonomous Periodically-Excited Systems


Journal Article

© 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.

Full Text

Duke Authors

Cited Authors

  • Virgin, LN; Thompson, JMT

Published Date

  • October 1, 2018

Published In

Volume / Issue

  • 28 / 11

International Standard Serial Number (ISSN)

  • 0218-1274

Digital Object Identifier (DOI)

  • 10.1142/S0218127418300355

Citation Source

  • Scopus