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Nonlinear Resonance Analysis: Theory, Computation, Applications

  • Elena Kartaschova

    Research output: Book › Monograph

    Abstract

    Nonlinear resonance analysis is a unique mathematical tool that can be used to study resonances in relation to, but independently of, any single area of application. This is the first book to present the theory of nonlinear resonances as a new scientific field, with its own theory, computational methods, applications and open questions. The book includes several worked examples, mostly taken from fluid dynamics, to explain the concepts discussed. Each chapter demonstrates how nonlinear resonance analysis can be applied to real systems, including large-scale phenomena in the Earth's atmosphere and novel wave turbulent regimes, and explains a range of laboratory experiments. The book also contains a detailed description of the latest computer software in the field. It is suitable for graduate students and researchers in nonlinear science and wave turbulence, along with fluid mechanics and number theory.
    Original languageEnglish
    Place of PublicationCambridge, UK
    PublisherCambridge University Press
    Number of pages240
    ISBN (Print)9780521763608
    Publication statusPublished - Jan 2010

    Fields of science

    • 101002 Analysis
    • 101009 Geometry
    • 101013 Mathematical logic
    • 101020 Technical mathematics
    • 101022 Topology
    • 101006 Differential geometry

    JKU Focus areas

    • Engineering and Natural Sciences (in general)

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