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Nonlinear Resonance Analysis
Theory, Computation, Applications

£82.99

  • Date Published: October 2010
  • availability: In stock
  • format: Hardback
  • isbn: 9780521763608

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  • 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. Colour versions of a selection of the figures are available at www.cambridge.org/9780521763608.

    • Contains numerous worked examples, clearly illustrating the concepts discussed and demonstrating the applications of nonlinear resonance analysis
    • Each chapter begins with an introductory section, using non-technical language to provide a general overview
    • Includes a detailed description of the latest software, highlighting its use in programming new examples of nonlinear resonance
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    Reviews & endorsements

    '… brings significant rewards … equipping the receptive reader to address a number of open questions.' Contemporary Physics

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    Product details

    • Date Published: October 2010
    • format: Hardback
    • isbn: 9780521763608
    • length: 240 pages
    • dimensions: 253 x 177 x 14 mm
    • weight: 0.62kg
    • contains: 53 b/w illus. 7 tables
    • availability: In stock
  • Table of Contents

    1. Exposition
    2. Kinematics: wavenumbers
    3. Kinematics: resonance clusters
    4. Dynamics
    5. Mechanical playthings
    6. Wave turbulent regimes
    7. Epilogue
    Appendix: software
    Index.

  • Resources for

    Nonlinear Resonance Analysis

    Elena Kartashova

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  • Author

    Elena Kartashova, Johannes Kepler Universität Linz
    Elena Kartashova is a Professor at the Research Institute for Symbolic Computation (RISC), Johannes Kepler University, Linz. Her research interests include nonlinear resonances in various application areas, from fluid mechanics and meteorology to engineering. She was awarded the V. I. Vernadsky medal by the Russian Academy of Natural Sciences in 2009.

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