On limit cycles arising from the parametric excitation of standing waves

S.P. Decent, A.D.D. Craik

    Research output: Contribution to journalArticle

    7 Citations (Scopus)

    Abstract

    Single-mode limit cycles were recently found as solutions of a nonlinear evolution equation for parametrically excited standing surface waves on liquid in a rectangular container [see Decent and Craik, "Hysteresis in Faraday resonance", J. Fluid Mech. 293, 237-268 (1995)]. Here we examine their structure in detail, both analytically and numerically, and describe local and global bifurcations.
    Original languageEnglish
    Pages (from-to)275-294
    Number of pages20
    JournalWave Motion
    Volume25
    Issue number3
    DOIs
    Publication statusPublished - May 1997

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