Catastrophes Chaos And Convolutions

A collection of the author's science fiction stories, science fact articles, and discussions of how they came to be written.

The world of the past eventually died in the conflagration toward which it had been doggedly heading. A more fragmented and diversified order has emerged from the ruins and . technology has reappeared to a greater or lesser degree in some places and not at all in others. Unique among them is the nation-state of Sofi, with an exceptional population that has rediscovered advanced science. However, as the old patterns that led to ruin before begin to reassert themselves across the rest of the world, a scientific-political movement within Sofi embarks on a years-long project to build a generation starship that will enable them to create their own world elsewhere. The circumstances and thinking of future generations growing up in the totally unknown situation of a space environment cannot be known. Accordingly, the mission will include different groups of idealists, reformers, misfits, and dissidents who are not satisfied with the world-in-miniature that constitutes the original mother ship, to go out and build whatever they want. Hence, what arrives at the distant star generations hence will be a flotilla of variously run city states, frontier towns, religious monasteries, pleasure resorts, urban crushes, rural spreads, academic retreats, and who-knows what else. The trouble began, of course, when all the old patterns that they thought they were getting away from started reappearing . . . At the publisher's request, this title is sold without DRM (Digital Rights Management).

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.

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 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.

Explains catastrophe theory, which uses geometric shapes to transform abstract concepts into concrete visual pictures, and cites numerous examples to show its usefulness in dealing with problems in economics, psychology, biology, politics, and history.

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.