Instabilities, Chaos And Turbulence (2nd Edition)
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A01=Paul Manneville
Author_Paul Manneville
Category=PBKD
Category=PBWS
Chaos
Complexity
Engineering Applications
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Fractals
Hydrodynamics
Nonlinear Dynamics
Patterns
Stability
Turbulence
Product details
- ISBN 9781848163928
- Publication Date: 22 Jul 2010
- Publisher: Imperial College Press
- Publication City/Country: GB
- Product Form: Hardback
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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.
