Bifurcation Theory And Catastrophe Theory
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Dynamical Systems V
Author | : V.I. Arnold,V.S. Afrajmovich,Yu.S. Il'yashenko,L.P. Shil'nikov |
Publsiher | : Springer Science & Business Media |
Total Pages | : 279 |
Release | : 2013-12-01 |
Genre | : Mathematics |
ISBN | : 9783642578847 |
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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.
Bifurcation Theory and Catastrophe Theory
![Bifurcation Theory and Catastrophe Theory](https://youbookinc.com/wp-content/uploads/2024/06/cover.jpg)
Author | : Anonim |
Publsiher | : Unknown |
Total Pages | : 271 |
Release | : 1999 |
Genre | : Electronic Book |
ISBN | : OCLC:841836330 |
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Dynamical Systems V
Author | : V.I. Arnold,V.S. Afrajmovich,Yu.S. Il'yashenko,L.P. Shil'nikov |
Publsiher | : Springer |
Total Pages | : 0 |
Release | : 1999-05-20 |
Genre | : Mathematics |
ISBN | : 3540653791 |
Download Dynamical Systems V Book in PDF, Epub and Kindle
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
Author | : Alan Wilson |
Publsiher | : Routledge |
Total Pages | : 343 |
Release | : 2012-11-12 |
Genre | : Social Science |
ISBN | : 9781136599811 |
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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
Author | : V.I. Arnold,V.S. Afrajmovich,Yu.S. Il'yashenko,L.P. Shil'nikov |
Publsiher | : Springer |
Total Pages | : 274 |
Release | : 2011-11-14 |
Genre | : Mathematics |
ISBN | : 3642578853 |
Download Dynamical Systems V Book in PDF, Epub and Kindle
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
![Dynamical Systems V](https://youbookinc.com/wp-content/uploads/2024/06/cover.jpg)
Author | : Anonim |
Publsiher | : Unknown |
Total Pages | : 271 |
Release | : 1990 |
Genre | : Bifurcation theory |
ISBN | : OCLC:641312709 |
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Catastrophe Theory
Author | : Vladimir I. Arnol'd |
Publsiher | : Springer Science & Business Media |
Total Pages | : 161 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 9783642581243 |
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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.
Catastrophe Theory and Bifurcation
Author | : Alan Geoffrey Wilson |
Publsiher | : Univ of California Press |
Total Pages | : 358 |
Release | : 1981 |
Genre | : Mathematics |
ISBN | : 0520043707 |
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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.