Chaos in driven Alfvén systems: Boundary and interior crises

Felix A. Borotto, Abraham C.L. Chian, Tohru Hada, Erico L. Rempel

    Research output: Contribution to journalArticle

    11 Citations (Scopus)

    Abstract

    Chaotic transitions of nonlinear Alfvén waves via boundary and interior crises are studied. Alfvén crises are characterized using the unstable periodic orbits and their stable and unstable manifolds. In a period-3 periodic window of the bifurcation diagram, we identify a period-9 unstable periodic orbit that is responsible for both boundary and interior crises of two chaotic attractors. We demonstrate that these Alfvén crises arise from a homoclinic tangency.

    Original languageEnglish
    Pages (from-to)275-282
    Number of pages8
    JournalPhysica D: Nonlinear Phenomena
    Volume194
    Issue number3-4
    DOIs
    Publication statusPublished - Jul 15 2004

    All Science Journal Classification (ASJC) codes

    • Statistical and Nonlinear Physics
    • Mathematical Physics
    • Condensed Matter Physics
    • Applied Mathematics

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