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Catastrophe Theory And Bifurcation Routledge Revivals
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Book Synopsis Catastrophe Theory and Bifurcation (Routledge Revivals) by : Alan Wilson
Download or read book Catastrophe Theory and Bifurcation (Routledge Revivals) written by Alan Wilson and published by Taylor & Francis. This book was released on 2012-11-12 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Catastrophe Theory and Bifurcation by : Alan Wilson
Download or read book Catastrophe Theory and Bifurcation written by Alan Wilson and published by Routledge. This book was released on 2011 with total page 343 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Catastrophe Theory and Bifurcation by : Alan Geoffrey Wilson
Download or read book Catastrophe Theory and Bifurcation written by Alan Geoffrey Wilson and published by Univ of California Press. This book was released on 1981 with total page 331 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical models have long been used by geographers and regional scientists to explore the working of urban and regional systems. However, this all changed with the advent of catastrophe theory and bifurcation. This study outlines the implications of these mathematical models for geography and regional science.
Book Synopsis Bifurcation Theory and Catastrophe Theory by :
Download or read book Bifurcation Theory and Catastrophe Theory written by and published by . This book was released on 1999 with total page 271 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Dynamical Systems V written by and published by . This book was released on 1990 with total page 271 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Catastrophe Theory for Scientists and Engineers by : Robert Gilmore
Download or read book Catastrophe Theory for Scientists and Engineers written by Robert Gilmore and published by Courier Corporation. This book was released on 1993-01-01 with total page 696 pages. Available in PDF, EPUB and Kindle. Book excerpt: This advanced-level treatment describes the mathematics of catastrophe theory and its applications to problems in mathematics, physics, chemistry and engineering. 28 tables. 397 black-and-white illustrations. 1981 edition.
Book Synopsis Catastrophe Theory by : Vladimir I. Arnol'd
Download or read book Catastrophe Theory written by Vladimir I. Arnol'd and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 161 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Dynamical systems. written by and published by . This book was released on 1993 with total page 271 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Catastrophe Theory by : V. I. Arnol'd
Download or read book Catastrophe Theory written by V. I. Arnol'd and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 91 pages. Available in PDF, EPUB and Kindle. Book excerpt: Singularity theory is growing very fast and many new results have been discovered since the Russian edition appeared: for instance the relation of the icosahedron to the problem of by passing a generic obstacle. The reader can find more details about this in the articles "Singularities of ray systems" and "Singularities in the calculus of variations" listed in the bi bliography of the present edition. Moscow, September 1983 v. I. Arnold Preface to the Russian Edition "Experts discuss forecasting disasters" said a New York Times report on catastrophe theory in November 1977. The London Times declared Catastrophe Theory to be the "main intellectual movement of the century" while an article on catastrophe theory in Science was headed "The emperor has no clothes". This booklet explains what catastrophe theory is about and why it arouses such controversy. It also contains non-con troversial results from the mathematical theories of singulari ties and bifurcation. The author has tried to explain the essence of the fundamen tal results and applications to readers having minimal mathe matical background but the reader is assumed to have an in quiring mind. Moscow 1981 v. I. Arnold Contents Chapter 1. Singularities, Bifurcations, and Catastrophe Theories ............... 1 Chapter 2. Whitney's Singularity Theory ... 3 Chapter 3. Applications of Whitney's Theory 7 Chapter 4. A Catastrophe Machine ...... 10 Chapter 5. Bifurcations of Equilibrium States 14 Chapter 6. Loss of Stability of Equilibrium and the Generation of Auto-Oscillations . . . . . . 20 .
Book Synopsis Urban Systems (Routledge Revivals) by : C S Bertuglia
Download or read book Urban Systems (Routledge Revivals) written by C S Bertuglia and published by Routledge. This book was released on 2013-10-18 with total page 690 pages. Available in PDF, EPUB and Kindle. Book excerpt: This edited collection, first published in 1987, provides a comparative analysis of different approaches to urban modelling, and lays the foundations for the possibility of integration and a more unified field. The first part contextualises the development of the field of urban systems modelling, focusing on the variety of approaches and possible implications of this on the future of research and methodology. Next, the editors consider economic and ‘non-economic’ approaches, followed by an analysis of spatial-interaction-based approaches. Providing an overview to the field and research literature, the overarching argument is that there should be an integrated methodological approach to urban system modelling.
Book Synopsis Dynamical Systems V by : V.I. Arnold
Download or read book Dynamical Systems V written by V.I. Arnold and published by Springer. This book was released on 1994-06-06 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Catastrophe Theory by : Domencio Castrigiano
Download or read book Catastrophe Theory written by Domencio Castrigiano and published by CRC Press. This book was released on 2019-08-28 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: Catastrophe Theory was introduced in the 1960s by the renowned Fields Medal mathematician Rene' Thom as a part of the general theory of local singularities. Since then it has found applications across many areas, including biology, economics, and chemical kinetics. By investigating the phenomena of bifurcation and chaos, Catastrophe Theory proved t
Book Synopsis Bifurcations and Catastrophes by : Michel Demazure
Download or read book Bifurcations and Catastrophes written by Michel Demazure and published by Springer Science & Business Media. This book was released on 1999-12-15 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Geography and Geographers by : Ron Johnston
Download or read book Geography and Geographers written by Ron Johnston and published by Routledge. This book was released on 2015-12-22 with total page 893 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geography and Geographers continues to be the most comprehensive and up-to-date overview of human geography available. It provides a survey of the major debates, key thinkers and schools of thought in the English-speaking world, setting them within the context of economic, social, cultural, political and intellectual changes. It is essential reading for all undergraduate geography students. It draws on a wide reading of the geographical literature and addresses the ways geography and its history are understood and the debates among geographers regarding what the discipline should study and how. This extensively updated seventh edition offers a thoroughly contemporary perspective on human geography for new and more experienced students alike.
Book Synopsis Bifurcations and Catastrophes by : Michel Demazure
Download or read book Bifurcations and Catastrophes written by Michel Demazure and published by . This book was released on 1999-12-15 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Catastrophe Theory written by A. Okninski and published by Elsevier. This book was released on 1992-06-12 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book aims to provide a straightforward introduction to chemical applications of the catastrophe theory. It is primarily intended for chemists interested in placing chemical reactions in the broader context of non-linear science, but it has a practical relevance for scientists in general. Catastrophe theory deals with those non-linear phenomena in which a continuous change in the control parameters results in a discontinuous alteration of a characteristic quantity of the system. The author discusses the origins of catastrophe theory, giving examples of occurrences in the areas of physics, chemistry and biology. Elementary theory and non-chemical applications are also described. The chemical kinetics and methods of analysis of chemical kinetic equations arising from elementary and generalized catastrophe theories are reviewed. Finally, the theory is applied to analyse and classify phenomena associated with the stability loss that may occur in chemical reactions. The book contains over 100 figures and an extensive subject index.
Book Synopsis Catastrophe Theory by : Vladimir Igorevich Arnolʹd
Download or read book Catastrophe Theory written by Vladimir Igorevich Arnolʹd and published by Springer. This book was released on 1986 with total page 142 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the reviews: "This is a short, critical and nonmathematical review of catastrophe theory which will provide a useful introduction to the subject". Physics Bulletin.
