Nonlinear resonance analysis : theory, computation, applications / Elena Kartashova.

Format:

Book

Author/Creator:

Tobisch, Elena, 1956-

Contributor:

Christine Hikawa Fund.

Language:

English

Subjects (All):

Differential equations, Nonlinear--Numerical solutions.

Differential equations, Nonlinear.

Fourier analysis.

Resonance.

Mathematical analysis.

Physical Description:

xv, 223 pages : illustrations ; 26 cm

Place of Publication:

Cambridge, UK ; New York : Cambridge University Press, 2011.

Summary:

"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"-- Provided by publisher.

Contents:

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

Notes:

Includes bibliographical references and index.

Local Notes:

Acquired for the Penn Libraries with assistance from the Christine Hikawa Fund.

ISBN:

9780521763608

0521763606

OCLC:

693684077

Publisher Number:

99942196312