Abstract
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.
| Original language | English |
|---|---|
| Place of Publication | Cambridge, UK |
| Publisher | Cambridge University Press |
| Number of pages | 240 |
| ISBN (Print) | 9780521763608 |
| Publication status | Published - Jan 2010 |
Fields of science
- 101002 Analysis
- 101009 Geometry
- 101013 Mathematical logic
- 101020 Technical mathematics
- 101022 Topology
- 101006 Differential geometry
JKU Focus areas
- Engineering and Natural Sciences (in general)