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OverviewChaotic phenomena flourish in nature. They often originate in systems whose components are governed by simple laws, but whose overall behaviour is very complex. This text aims to give an elementary introduction to the theory of chaotic systems and to demonstrate how chaos and coherence are interwoven into some of the simplest models exhibiting deterministic chaos. This is part of a theory more formally known as dynamical systems theory. Extensive use has been made of Lyapunov models, throughout the text, as a tool that can make the exploration of a particular model less time-consuming. There is also discussion of time series analysis, including analytical methods which have not become standard. Researchers making models intended to describe a time series are provided with a guide to scaling dimensions which gives the minimum of variables needed in the model. Full Product DetailsAuthor: Jan FroylandPublisher: Taylor & Francis Ltd Imprint: Institute of Physics Publishing Dimensions: Width: 15.60cm , Height: 0.70cm , Length: 23.40cm Weight: 0.249kg ISBN: 9780750301954ISBN 10: 0750301953 Pages: 130 Publication Date: 01 January 1992 Audience: College/higher education , Professional and scholarly , Undergraduate , Postgraduate, Research & Scholarly Format: Paperback Publisher's Status: Active Availability: In Print ![]() This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of ContentsIntroduction. Fractals. The logistic map. The circle map. Higher dimensional maps. Dissipative maps in higher dimensions. Conservative maps. Cellular automata. Ordinary differential equations. The Lorenz model. Time series analysis. Appendices. Further reading. Index.Reviews""A grand book for a course aimed at mathematicians, physicists, or engineers … the whole sweep of nonlinear dynamics, from chaos to cellular automata … an exciting little book."" -New Scientist ""… a wonderful book. The book serves as an excellent introduction in the field for the beginners. The reading of this book will be fruitful for all scientists and engineers stimulating them to understand the surrounding nature. The book is a valuable acquisition for any academic or technical library."" -Memoirs of the Scientific Sections, Seria IV A grand book for a course aimed at mathematicians, physicists, or engineers ... the whole sweep of nonlinear dynamics, from chaos to cellular automata ... an exciting little book. -New Scientist ... a wonderful book. The book serves as an excellent introduction in the field for the beginners. The reading of this book will be fruitful for all scientists and engineers stimulating them to understand the surrounding nature. The book is a valuable acquisition for any academic or technical library. -Memoirs of the Scientific Sections, Seria IV A grand book for a course aimed at mathematicians, physicists or engineers...the whole sweep of nonlinear dynamics, from chaos to cellular automata...an exciting little book. New Scientist ... a wonderful book. The book serves as an excellent introduction in the field for the beginners. The reading of this book will be fruitful for all scientists and engineers stimulating them to understand the surrounding nature. The book is a valuable acquisition for any academic or technical library. Memoirs of the Scientific Sections, Seria IV d book for a course aimed at mathematicians, physicists or engineers...the whole sweep of nonlinear dynamics, from chaos to cellular automata...an exciting little book. New Scientist ... a wonderful book. The book serves as an excellent introduction in the field for the beginners. The reading of this book will be fruitful for all scientists and engineers stimulating them to understand the surrounding nature. The book is a valuable acquisition for any academic or technical library. Memoirs of the Scientific Sections, Seria IV Author InformationJan Froyland Tab Content 6Author Website:Countries AvailableAll regions |