Instabilities and Fronts in Extended Systems
Collet, Pierre
Sold by Phatpocket Limited, Waltham Abbey, HERTS, United Kingdom
AbeBooks Seller since 28 April 2005
Used - Hardcover
Condition: Used - Good
Quantity: 1 available
Add to basketSold by Phatpocket Limited, Waltham Abbey, HERTS, United Kingdom
AbeBooks Seller since 28 April 2005
Condition: Used - Good
Quantity: 1 available
Add to basketYour purchase helps support Sri Lankan Children's Charity 'The Rainbow Centre'. Ex-library, so some stamps and wear, but in good overall condition. Our donations to The Rainbow Centre have helped provide an education and a safe haven to hundreds of children who live in appalling conditions.
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The physics of extended systems is a topic of great interest for the experimentalist and the theoretician alike. There exists a large literature on this subject in which solutions, bifurcations, fronts, and the dynamical stability of these objects are discussed. To the uninitiated reader, the theoretical methods that lead to the various results often seem somewhat ad hoc, and it is not clear how to generalize them to the nextthat is, not yet solvedproblem. In an introduction to the subject of instabilities in spatially infinite systems, Pierre Collet and Jean-Pierre Eckmann aim to give a systematic account of these methods, and to work out the relevant features that make them operational. The book examines in detail a number of model equations from physics. The mathematical developments of the subject are based on bifurcation theory and on the theory of invariant manifolds. These are combined to give a coherent description of several problems in which instabilities occur, notably the Eckhaus instability and the formation of fronts in the Swift-Hohenberg equation. These phenomena can appear only in infinite systems, and this book breaks new ground as a systematic account of the mathematics connected with infinite space domains.
Originally published in 1990.
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