Bifurcation Theory And Catastrophe Theory

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Dynamical Systems V

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Author : V.I. Arnold
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-12-01

Dynamical Systems V written by V.I. Arnold and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-01 with Mathematics categories.

Bifurcation theory and catastrophe theory are two well-known areas within the field of dynamical systems. Both are studies of smooth systems, focusing on properties that seem to be manifestly non-smooth. Bifurcation theory is concerned with the sudden changes that occur in a system when one or more parameters are varied. Examples of such are familiar to students of differential equations, from phase portraits. Understanding the bifurcations of the differential equations that describe real physical systems provides important information about the behavior of the systems. Catastrophe theory became quite famous during the 1970's, mostly because of the sensation caused by the usually less than rigorous applications of its principal ideas to "hot topics", such as the characterization of personalities and the difference between a "genius" and a "maniac". Catastrophe theory is accurately described as singularity theory and its (genuine) applications. The authors of this book, previously published as Volume 5 of the Encyclopaedia, have given a masterly exposition of these two theories, with penetrating insight.

Dynamical Systems V

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Author : V.I. Arnold
language : en
Publisher: Springer
Release Date : 1999-05-20

Dynamical Systems V written by V.I. Arnold and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-05-20 with Mathematics categories.

Bifurcation theory and catastrophe theory are two well-known areas within the field of dynamical systems. Both are studies of smooth systems, focusing on properties that seem to be manifestly non-smooth. Bifurcation theory is concerned with the sudden changes that occur in a system when one or more parameters are varied. Examples of such are familiar to students of differential equations, from phase portraits. Understanding the bifurcations of the differential equations that describe real physical systems provides important information about the behavior of the systems. Catastrophe theory became quite famous during the 1970's, mostly because of the sensation caused by the usually less than rigorous applications of its principal ideas to "hot topics", such as the characterization of personalities and the difference between a "genius" and a "maniac". Catastrophe theory is accurately described as singularity theory and its (genuine) applications. The authors of this book, previously published as Volume 5 of the Encyclopaedia, have given a masterly exposition of these two theories, with penetrating insight.

Dynamical Systems V

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Author : V.I. Arnold
language : en
Publisher: Springer
Release Date : 2011-11-14

Dynamical Systems V written by V.I. Arnold and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-11-14 with Mathematics categories.

Bifurcation theory and catastrophe theory are two well-known areas within the field of dynamical systems. Both are studies of smooth systems, focusing on properties that seem to be manifestly non-smooth. Bifurcation theory is concerned with the sudden changes that occur in a system when one or more parameters are varied. Examples of such are familiar to students of differential equations, from phase portraits. Understanding the bifurcations of the differential equations that describe real physical systems provides important information about the behavior of the systems. Catastrophe theory became quite famous during the 1970's, mostly because of the sensation caused by the usually less than rigorous applications of its principal ideas to "hot topics", such as the characterization of personalities and the difference between a "genius" and a "maniac". Catastrophe theory is accurately described as singularity theory and its (genuine) applications. The authors of this book, previously published as Volume 5 of the Encyclopaedia, have given a masterly exposition of these two theories, with penetrating insight.

Catastrophe Theory And Bifurcation Routledge Revivals

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Author : Alan Wilson
language : en
Publisher: Routledge
Release Date : 2012-11-12

Catastrophe Theory And Bifurcation Routledge Revivals written by Alan Wilson and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-11-12 with Social Science categories.

Mathematical models have long been used by geographers and regional scientists to explore the working of urban and regional systems, via a system where the equilibrium point changes slowly and smoothly as the parameters change slowly and smoothly. However, this all changed with the advent of catastrophe theory and bifurcation, which enabled the development of models where a quite sudden change in the position of the equilibrium point results from a slow, small, smooth change in one or more parameters. First published in 1981, this reissue of Professor Wilson’s classic study outlines the implications of these mathematical models for geography and regional science, by way of a survey of contemporary applications.

Bifurcation Theory And Catastrophe Theory

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Author :
language : en
Publisher:
Release Date : 1999

Bifurcation Theory And Catastrophe Theory written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with categories.

Dynamical Systems V

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Author :
language : en
Publisher:
Release Date : 1990

Dynamical Systems V written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Bifurcation theory categories.

Catastrophe Theory

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Author : Vladimir I. Arnol'd
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Catastrophe Theory written by Vladimir I. Arnol'd and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.

The new edition of this non-mathematical review of catastrophe theory contains updated results and many new or expanded topics including delayed loss of stability, shock waves, and interior scattering. Three new sections offer the history of singularity and its applications from da Vinci to today, a discussion of perestroika in terms of the theory of metamorphosis, and a list of 93 problems touching on most of the subject matter in the book.

Dynamical Systems V

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Author : V.I. Arnold
language : en
Publisher: Springer
Release Date : 1994-06-06

Dynamical Systems V written by V.I. Arnold and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-06-06 with Mathematics categories.

Bifurcation theory and catastrophe theory are two well-known areas within the field of dynamical systems. Both are studies of smooth systems, focusing on properties that seem to be manifestly non-smooth. Bifurcation theory is concerned with the sudden changes that occur in a system when one or more parameters are varied. Examples of such are familiar to students of differential equations, from phase portraits. Understanding the bifurcations of the differential equations that describe real physical systems provides important information about the behavior of the systems. Catastrophe theory became quite famous during the 1970's, mostly because of the sensation caused by the usually less than rigorous applications of its principal ideas to "hot topics", such as the characterization of personalities and the difference between a "genius" and a "maniac". Catastrophe theory is accurately described as singularity theory and its (genuine) applications. The authors of this book, previously published as Volume 5 of the Encyclopaedia, have given a masterly exposition of these two theories, with penetrating insight.

Dynamical Systems I

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Author : D.V. Anosov
language : en
Publisher: Springer
Release Date : 1994-06-01

Dynamical Systems I written by D.V. Anosov and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-06-01 with Mathematics categories.

From the reviews: "The reading is very easy and pleasant for the non-mathematician, which is really noteworthy. The two chapters enunciate the basic principles of the field, ... indicate connections with other fields of mathematics and sketch the motivation behind the various concepts which are introduced.... What is particularly pleasant is the fact that the authors are quite successful in giving to the reader the feeling behind the demonstrations which are sketched. Another point to notice is the existence of an annotated extended bibliography and a very complete index. This really enhances the value of this book and puts it at the level of a particularly interesting reference tool. I thus strongly recommend to buy this very interesting and stimulating book." Journal de Physique

Catastrophe Theory And Bifurcation

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Author : Alan Geoffrey Wilson
language : en
Publisher: Univ of California Press
Release Date : 1981

Catastrophe Theory And Bifurcation written by Alan Geoffrey Wilson and has been published by Univ of California Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1981 with Mathematics categories.

Alan Wilson surveys the range of applications currently devised that have been developed from new advances in mathematics enabling the development of models where sudden changes in equilibrium can be accounted for.