Instabilities, Chaos and Turbulence (): An Introduction to Nonlinear Dynamics and Complex Systems

July 22, 2010|
Instabilities, Chaos and Turbulence (): An Introduction to Nonlinear Dynamics and Complex Systems by Paul Manneville
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This book (2nd edition) is a self-contained introduction to a wide body of knowledge on nonlinear dynamics and chaos. Manneville emphasises the understanding of basic concepts and the nontrivial character of nonlinear response, contrasting it with the intuitively simple linear response. He explains the theoretical framework using pedagogical examples from fluid dynamics, though prior knowledge of this field is not required. Heuristic arguments and worked examples replace most esoteric technicalities. Only basic understanding of mathematics and physics is required, at the level of what is currently known after one or two years of undergraduate training: elementary calculus, basic notions of linear algebra and ordinary differential calculus, and a few fundamental physical equations (specific complements are provided when necessary). Methods presented are of fully general use, which opens up ample windows on topics of contemporary interest. These include complex dynamical processes such as patterning, chaos control, mixing, and even the Earth's climate. Numerical simulations are proposed as a means to obtain deeper understanding of the intricacies induced by nonlinearities in our everyday environment, with hints on adapted modelling strategies and their implementation.
Title:Instabilities, Chaos and Turbulence (): An Introduction to Nonlinear Dynamics and Complex SystemsFormat:HardcoverProduct dimensions:456 pages, 0 X 0 X 0 inShipping dimensions:456 pages, 0 X 0 X 0 inPublished:July 22, 2010Publisher:World Scientific PublishingLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:1848163924

ISBN - 13:9781848163928

Appropriate for ages: All ages

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