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    On the continuation of an invariant torus in a family with rapid oscillations

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    LiuWeishi_SIAMJoAM_31(2)386.pdf (483.7Kb)
    Issue Date
    2000-01-01
    Author
    Chicone, Carmen
    Liu, Weishi
    Publisher
    Society for Industrial and Applied Mathematics
    Type
    Article
    Article Version
    Scholarly/refereed, publisher version
    Metadata
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    Abstract
    A persistence theorem for attracting invariant tori for systems subjected to rapidly oscillating perturbations is proved. The singular nature of these perturbations prevents the direct application of the standard persistence results for normally hyperbolic invariant manifolds. However, as is illustrated in this paper, the theory of normally hyperbolic invariant manifolds, when combined with an appropriate continuation method, does apply.
    Description
    This is the published version, also available here: http://dx.doi.org/10.1137/S0036141098338740.
    URI
    http://hdl.handle.net/1808/16949
    DOI
    https://doi.org/10.1137/S0036141098338740
    Collections
    • Mathematics Scholarly Works [282]
    Citation
    Chicone, Carmen & Liu, Weishi. "On the continuation of an invariant torus in a family with rapid oscillations." SIAM J. Math. Anal., 31(2), 386–415. (30 pages). http://dx.doi.org/10.1137/S0036141098338740.

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    Contact KU ScholarWorks
    785-864-8983
    KU Libraries
    1425 Jayhawk Blvd
    Lawrence, KS 66045
    785-864-8983

    KU Libraries
    1425 Jayhawk Blvd
    Lawrence, KS 66045
    Image Credits
     

     

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