Quasi-periodic bifurcations in reversible systems

    Research output: Contribution to journalArticleAcademic

    Abstract

    Invariant tori of integrable dynamical systems occur both in the dissipative and in the conservative context, but only in the latter the tori are parametrised by phase space variables. This allows for quasi-periodic bifurcations within a single given system, induced by changes of the normal behaviour of the tori. It turns out that in a non-degenerate reversible system all semi-local bifurcations of co-dimension 1 persist, under small non-integrable perturbations, on large Cantor sets
    Original languageEnglish
    Pages (from-to)51-60
    Number of pages10
    JournalRegular and Chaotic Dynamics
    Volume16
    Issue number1-2
    Publication statusPublished - 2010

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