Bifurcations of snap-back repellers with application to border-collision bifurcations

    Research output: Contribution to journalArticlepeer-review

    Abstract

    The bifurcation theory of snap-back repellers in hybrid dynamical systems is developed. Infinite sequences of bifurcations are shown to arise due to the creation of snap-back repellers in noninvertible maps. These are analogous to the cascades of bifurcations known to occur close to homoclinic tangencies for diffeomorphisms. The theoretical results are illustrated with reference to bifurcations in the normal form for border-collision bifurcations. © 2010 World Scientific Publishing Company.
    Original languageEnglish
    Pages (from-to)479-489
    Number of pages10
    JournalInternational Journal of Bifurcation and Chaos
    Volume20
    Issue number2
    DOIs
    Publication statusPublished - Feb 2010

    Keywords

    • Border-collision bifurcation
    • Hybrid system
    • Snap-back-repeller

    Fingerprint

    Dive into the research topics of 'Bifurcations of snap-back repellers with application to border-collision bifurcations'. Together they form a unique fingerprint.

    Cite this