Nonlinear resonance analysis theory, computation, applications

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 met...

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Bibliographic Details
Main Author: Tobisch, Elena
Format: eBook
Language:English
Published: Cambridge Cambridge University Press 2011
Subjects:
Online Access:
Collection: Cambridge Books Online - Collection details see MPG.ReNa
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300 |a xv, 223 pages  |b digital 
505 0 |a Exposition -- Kinematics: wavenumbers -- Kinematics: resonance clusters -- Dynamics -- Mechanical playthings -- Wave turbulent regimes -- Epilogue 
653 |a Differential equations, Nonlinear / Numerical solutions 
653 |a Fourier analysis 
653 |a Resonance 
653 |a Mathematical analysis 
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520 |a 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