Nonlinear Resonance Analysis
Theory, Computation, Applications

A unique explanation of the theory, computational methods and applications of nonlinear resonance analysis for graduate students and researchers.

Elena Kartashova (Author)

9780521763608, Cambridge University Press

Hardback, published 21 October 2010

240 pages, 53 b/w illus. 7 tables
25.3 x 17.7 x 1.4 cm, 0.62 kg

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

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.

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

Subject Areas: Mechanics of fluids [TGMF], Fluid mechanics [PHDF]