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Nonlinear Physical Systems : Spectral Analysis, Stability and Bifurcations by oleg n.kirillov and dmitry e.pelinovsky. Series editor no?l challamel is a book available to read on EtoBox.

What is Nonlinear Physical Systems : Spectral Analysis, Stability and Bifurcations about?

Annotation Bringing together 18 chapters written by leading experts in dynamical systems, operator theory, partial differential equations, and solid and fluid mechanics, this book presents state-of-the-art approaches to a wide spectrum of new and challenging stability problems. Nonlinear Physical Systems: Spectral Analysis, Stability and Bifurcations focuses on problems of spectral analysis, stability and bifurcations arising in the nonlinear partial differential equations of modern physics. Bifurcations and stability of solitary waves, geometrical optics stability analysis in hydro- and magnetohydrodynamics, and dissipation-induced instabilities are treated with the use of the theory of Krein and Pontryagin space, index theory, the theory of multi-parameter eigenvalue problems and modern asymptotic and perturbative approaches. Each chapter contains mechanical and physical examples, and the combination of advanced material and more tutorial elements makes this book attractive for both experts and non-specialists keen to expand their knowledge on modern methods and trends in stability theory. Contents 1. Surprising Instabilities of Simple Elastic Structures, Davide Bigoni, Diego Mis

Author

oleg n.kirillov and dmitry e.pelinovsky. Series editor no?l challamel

Publisher

Wiley-ISTE [Imprint] John Wiley & Sons, Incorporated

Published

2014

Language

EN

ISBN

9781848214200

Subjects

Mathematics, Stem