Quadratures and cubics in SO(3) and SO(1,2)

Tomasz Popiel, Lyle Noakes

    Research output: Contribution to journalArticle

    8 Citations (Scopus)

    Abstract

    We solve a class of first-order differential equations on SO(3) and SO(1,2) by quadratures. We then consider applications to variational curves, namely, Riemannian cubics, Riemannian cubics in tension, and elastica.
    Original languageEnglish
    Pages (from-to)463-473
    JournalIMA Journal of Mathematical Control and Information
    Volume23
    Issue number4
    DOIs
    Publication statusPublished - 2006

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