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Catastrophe Theory And Bifurcation

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Bifurcations And Catastrophes

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Author : Michel Demazure
language : en
Publisher: Springer Science & Business Media
Release Date : 1999-12-15

Bifurcations And Catastrophes written by Michel Demazure 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 1999-12-15 with Mathematics categories.

Based on a lecture course, this text gives a rigorous introduction to nonlinear analysis, dynamical systems and bifurcation theory including catastrophe theory. Wherever appropriate it emphasizes a geometrical or coordinate-free approach allowing a clear focus on the essential mathematical structures. It brings out features common to different branches of the subject while giving ample references for more advanced or technical developments.

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 Mathematics 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.

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.

Singularities Bifurcations And Catastrophes

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Author : James Montaldi
language : en
Publisher: Cambridge University Press
Release Date : 2021-06-24

Singularities Bifurcations And Catastrophes written by James Montaldi and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-06-24 with Mathematics categories.

This textbook gives a contemporary account of singularity theory and its principal application, bifurcation theory.

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.