Pattern Formation

An Introduction to Methods

Rebecca Hoyle

422 pages, parution le 15/03/2006

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Résumé

From the stripes of a zebra and the spots on a leopard's back to the ripples on a sandy beach or desert dune, regular patterns arise everywhere in nature. The appearance and evolution of these phenomena has been a focus of recent research activity across several disciplines.

This book provides an introduction to the range of mathematical theory and methods used to analyse and explain these often intricate and beautiful patterns. Bringing together several different approaches, from group theoretic methods to envelope equations and theory of patterns in large-aspect ratio-systems, the book also provides insight behind the selection of one pattern over another.

Suitable as an upper-undergraduate textbook for mathematics students or as a fascinating, engaging, and fully illustrated resource for readers in physics and biology, Rebecca Hoyle's book, using a non-partisan approach, unifies a range of techniques used by active researchers in this growing field.

Sommaire

What are natural patterns?
A bit of bifurcation theory
A bit of group theory
Bifurcations with symmetry
Simple lattice patterns
Superlattices, hidden symmetries and other complications
Spatial modulation and envelope equations
Instabilities of stripes and travelling plane waves
More instabilities of patterns
Spirals, defects and spiral defect chaos
Large-aspect-ratio systems and the Cross-Newell equation

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Caractéristiques techniques

	PAPIER
Éditeur(s)	Cambridge University Press
Auteur(s)	Rebecca Hoyle
Parution	15/03/2006
Nb. de pages	422
Format	17,5 x 25,5
Couverture	Relié
Poids	995g
Intérieur	Noir et Blanc
EAN13	9780521817509
ISBN13	978-0-521-81750-9