Catastrophe Theory for Scientists and Engineers

Catastrophe Theory for Scientists and Engineers
Author: Robert Gilmore
Publisher: Courier Corporation
Total Pages: 696
Release: 1993-01-01
Genre: Technology & Engineering
ISBN: 9780486675398

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.

An Introduction to Catastrophe Theory

An Introduction to Catastrophe Theory
Author: Peter Timothy Saunders
Publisher: Cambridge University Press
Total Pages: 162
Release: 1980-06-30
Genre: Mathematics
ISBN: 9780521297820

An introduction to catastrophe theory, a mathematical theory which deals with those changes which occur abruptly rather than smoothly. Includes many applications to illustrate the different ways in which catastrophe can be used in life, physical and social sciences.

Catastrophe Theory

Catastrophe Theory
Author: Vladimir I. Arnol'd
Publisher: Springer Science & Business Media
Total Pages: 120
Release: 2012-12-06
Genre: Mathematics
ISBN: 3642969372

Catastrophe Theory

Catastrophe Theory
Author: Domencio Castrigiano
Publisher: CRC Press
Total Pages: 281
Release: 2019-06-03
Genre: Mathematics
ISBN: 0429970358

Catastrophe Theory was introduced in the 1960s by the renowned Fields Medal mathematician René 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 to

Chaos and Catastrophe Theories

Chaos and Catastrophe Theories
Author: Courtney Brown
Publisher: SAGE
Total Pages: 90
Release: 1995-06-28
Genre: Mathematics
ISBN: 9780803958470

Chaos and catastrophe theories offer a complex new technique for modeling. By posing and answering a series of questions - What is Chaos? How can it be measured? How are the models estimated? What is catastrophe? How is it modeled? - the book introduces the reader to chaotic dynamics. Other topics covered are finding settings in which chaos can be measured, estimating chaos using nonlinear least squares, and specifying catastrophe models. Finally, the author estimates a nonlinear system of equations that models catastrophe using real survey data.

Catastrophe Theoretic Semantics

Catastrophe Theoretic Semantics
Author: Wolfgang Wildgen
Publisher: John Benjamins Publishing
Total Pages: 130
Release: 1982-01-01
Genre: Language Arts & Disciplines
ISBN: 9027280606

René Thom, the famous French mathematician and founder of catastrophe theory, considered linguistics an exemplary field for the application of his general morphology. It is surprising that physicists, chemists, biologists, psychologists and sociologists are all engaged in the field of catastrophe theory, but that there has been almost no echo from linguistics. Meanwhile linguistics has evolved in the direction of René Thom’s intuitions about an integrated science of language and it has become a necessary task to review, update and elaborate the proposals made by Thom and to embed them in the framework of modern semantic theory.

Chaos, Catastrophe, and Human Affairs

Chaos, Catastrophe, and Human Affairs
Author: Stephen J. Guastello
Publisher: Psychology Press
Total Pages: 450
Release: 2013-05-13
Genre: Psychology
ISBN: 1134787782

Whether talking about steering a wheelbarrow over rugged terrain or plotting the course of international relations, human performance systems involve change. Sometimes changes are subtle or evolutionary, sometimes they are catastrophic or revolutionary, and sometimes the changes are from periods of relative calm to periods of vibrant oscillations to periods of chaos. As a general rule, more complex systems are likely to produce more complex forms of change. Although social scientists have long acknowledged that change occurs and have considered ways to effect desirable change, the dynamical processes of change have been poorly understood in the past. This volume combines recent advances in mathematics and experimental design with the best available social science theories to produce a new, integrated, and compact theory of work, organizations, and social evolution. The domains of application extend from human decision-making processes to personnel selection and work motivation, work performance under conditions of stress, accident and health risk analysis, the development of social institutions and economic systems, creativity and innovation, organizational development and group dynamics, and political revolutions and war. Relative to other literature on nonlinear dynamical systems theory (NDS), this book is unique in that it integrates new developments in NDS with substantive psychological theory. It builds on many recent developments in organizational theory to show that nonlinear dynamics were often implicit in those works all along. The result is an entirely new way of viewing social events, understanding change processes, and asking questions about social systems. This book also contains much new empirical work and explains the newly developed methods for testing these new hypotheses.

Dynamical Systems V

Dynamical Systems V
Author: V.I. Arnold
Publisher: Springer Science & Business Media
Total Pages: 279
Release: 2013-12-01
Genre: Mathematics
ISBN: 3642578845

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.

From Catastrophe to Chaos: A General Theory of Economic Discontinuities

From Catastrophe to Chaos: A General Theory of Economic Discontinuities
Author: J. Barkley Rosser
Publisher: Springer Science & Business Media
Total Pages: 330
Release: 2000-06-30
Genre: Business & Economics
ISBN: 9780792377702

From Catastrophe to Chaos: A General Theory of Economic Discontinuities presents and unusual perspective on economics and economic analysis. Current economic theory largely depends upon assuming that the world is fundamentally continuous. However, an increasing amount of economic research has been done using approaches that allow for discontinuities such as catastrophe theory, chaos theory, synergetics, and fractal geometry. The spread of such approaches across a variety of disciplines of thought has constituted a virtual intellectual revolution in recent years. This book reviews the applications of these approaches in various subdisciplines of economics and draws upon past economic thinkers to develop an integrated view of economics as a whole from the perspective of inherent discontinuity.