Nonlinear Resonance Analysis
Theory, Computation, Applications
Seiten
2010
Cambridge University Press (Verlag)
978-0-521-76360-8 (ISBN)
Cambridge University Press (Verlag)
978-0-521-76360-8 (ISBN)
Suitable for graduate students and researchers in nonlinear science and wave turbulence, along with fluid mechanics and number theory, this is the first book to present the theory of nonlinear resonances as a new scientific field. It demonstrates the computational methods and applications in detail.
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.
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.
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.
1. Exposition; 2. Kinematics: wavenumbers; 3. Kinematics: resonance clusters; 4. Dynamics; 5. Mechanical playthings; 6. Wave turbulent regimes; 7. Epilogue; Appendix: software; Index.
| Erscheint lt. Verlag | 21.10.2010 |
|---|---|
| Zusatzinfo | Worked examples or Exercises; 7 Tables, black and white; 13 Halftones, black and white; 40 Line drawings, black and white |
| Verlagsort | Cambridge |
| Sprache | englisch |
| Maße | 177 x 253 mm |
| Gewicht | 620 g |
| Themenwelt | Naturwissenschaften ► Physik / Astronomie ► Strömungsmechanik |
| Technik ► Maschinenbau | |
| ISBN-10 | 0-521-76360-6 / 0521763606 |
| ISBN-13 | 978-0-521-76360-8 / 9780521763608 |
| Zustand | Neuware |
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