Instabilities, Chaos And Turbulence

2nd Edition

Paul Manneville (Ecole Polytechnique, France)

$225.99

Hardback

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English

Imperial College Press
22 July 2010

Complex analysis, complex variables; Chaos theory

Series: Icp Fluid Mechanics

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.

By: Paul Manneville (Ecole Polytechnique France)
Imprint: Imperial College Press
Country of Publication: United Kingdom
Edition: 2nd Revised edition
Volume: 1
Dimensions: Height: 231mm, Width: 155mm, Spine: 23mm
Weight: 658g
ISBN: 9781848163928
ISBN 10: 1848163924
Series: Icp Fluid Mechanics
Pages: 456
Publication Date: 22 July 2010
Audience: College/higher education , Professional and scholarly , Primary , Undergraduate
Format: Hardback
Publisher's Status: Active

Introduction and Overview; First Steps in Nonlinear Dynamics; Life and Death of Dissipative Structures; Nonlinear Dynamics: From Simple to Complex; Applications of the Chaos Concept; Nonlinear Dynamics of Patterns; Open Flows; Instability and Transition; Developed Turbulence; Summary and Perspectives.