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Nonlinear Resonance Analysis

Resources and solutions

This title has free online support material available.

Details

  • 53 b/w illus. 7 tables
  • Page extent: 240 pages
  • Size: 247 x 174 mm
  • Weight: 0.62 kg

Library of Congress

  • Dewey number: 532/.05270151864
  • Dewey version: 22
  • LC Classification: QA372 .K247 2011
  • LC Subject headings:
    • Differential equations, Nonlinear--Numerical solutions
    • Fourier analysis
    • Resonance
    • Mathematical analysis

Library of Congress Record

Hardback

 (ISBN-13: 9780521763608)

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

Contents

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

Review

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

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