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

    Fingerprint

    Chaos theory
    chaos
    Chaos
    Orbits
    Interior
    orbits
    Periodic Orbits
    Unstable
    diagrams
    Homoclinic Tangency
    Stable and Unstable Manifolds
    Chaotic Attractor
    Nonlinear Waves
    Bifurcation Diagram
    Crisis
    Demonstrate

    All Science Journal Classification (ASJC) codes

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

    Cite this

    Chaos in driven Alfvén systems : Boundary and interior crises. / Borotto, Felix A.; Chian, Abraham C.L.; Hada, Tohru; Rempel, Erico L.

    In: Physica D: Nonlinear Phenomena, Vol. 194, No. 3-4, 15.07.2004, p. 275-282.

    Research output: Contribution to journalArticle

    Borotto, Felix A. ; Chian, Abraham C.L. ; Hada, Tohru ; Rempel, Erico L. / Chaos in driven Alfvén systems : Boundary and interior crises. In: Physica D: Nonlinear Phenomena. 2004 ; Vol. 194, No. 3-4. pp. 275-282.
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