The Symmetry Perspective

The Symmetry Perspective
Author: Martin Golubitsky
Publisher: Birkhäuser
Total Pages: 338
Release: 2012-12-06
Genre: Technology & Engineering
ISBN: 3034881673

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The framework of ‘symmetry’ provides an important route between the abstract theory and experimental observations. The book applies symmetry methods to dynamical systems, focusing on bifurcation and chaos theory. Its exposition is organized around a wide variety of relevant applications. From the reviews: "[The] rich collection of examples makes the book...extremely useful for motivation and for spreading the ideas to a large Community."--MATHEMATICAL REVIEWS

Practical Bifurcation and Stability Analysis

Practical Bifurcation and Stability Analysis
Author: Rüdiger U. Seydel
Publisher: Springer Science & Business Media
Total Pages: 493
Release: 2009-11-27
Genre: Mathematics
ISBN: 1441917403

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Probably the first book to describe computational methods for numerically computing steady state and Hopf bifurcations. Requiring only a basic knowledge of calculus, and using detailed examples, problems, and figures, this is an ideal textbook for graduate students.

Nonlinear Dynamics in Equilibrium Models

Nonlinear Dynamics in Equilibrium Models
Author: John Stachurski
Publisher: Springer Science & Business Media
Total Pages: 454
Release: 2012-01-25
Genre: Business & Economics
ISBN: 3642223974

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Optimal growth theory studies the problem of efficient resource allocation over time, a fundamental concern of economic research. Since the 1970s, the techniques of nonlinear dynamical systems have become a vital tool in optimal growth theory, illuminating dynamics and demonstrating the possibility of endogenous economic fluctuations. Kazuo Nishimura's seminal contributions on business cycles, chaotic equilibria and indeterminacy have been central to this development, transforming our understanding of economic growth, cycles, and the relationship between them. The subjects of Kazuo's analysis remain of fundamental importance to modern economic theory. This book collects his major contributions in a single volume. Kazuo Nishimura has been recognized for his contributions to economic theory on many occasions, being elected fellow of the Econometric Society and serving as an editor of several major journals. Chapter “Introduction” is available open access under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License via link.springer.com.

An Introduction to Chaos in Nonequilibrium Statistical Mechanics

An Introduction to Chaos in Nonequilibrium Statistical Mechanics
Author: J. R. Dorfman
Publisher: Cambridge University Press
Total Pages: 303
Release: 1999-08-28
Genre: Science
ISBN: 0521655897

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Introduction to applications and techniques in non-equilibrium statistical mechanics of chaotic dynamics.

Order Out of Chaos

Order Out of Chaos
Author: Ilya Prigogine
Publisher: Verso Books
Total Pages: 384
Release: 2018-01-23
Genre: Science
ISBN: 1786631024

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A pioneering book that shows how the two great themes of classic science, order and chaos, are being reconciled in a new and unexpected synthesis Order Out of Chaos is a sweeping critique of the discordant landscape of modern scientific knowledge. In this landmark book, Nobel Laureate Ilya Prigogine and acclaimed philosopher Isabelle Stengers offer an exciting and accessible account of the philosophical implications of thermodynamics. Prigogine and Stengers bring contradictory philosophies of time and chance into a novel and ambitious synthesis. Since its first publication in France in 1978, this book has sparked debate among physicists, philosophers, literary critics and historians.

Attractors, Bifurcations, & Chaos

Attractors, Bifurcations, & Chaos
Author: Tönu Puu
Publisher: Springer Science & Business Media
Total Pages: 556
Release: 2013-03-19
Genre: Mathematics
ISBN: 3540246991

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Attractors, Bifurcations, & Chaos - now in its second edition - begins with an introduction to mathematical methods in modern nonlinear dynamics and deals with differential equations. Phenomena such as bifurcations and deterministic chaos are given considerable emphasis, both in the methodological part, and in the second part, containing various applications in economics and in regional science. Coexistence of attractors and the multiplicity of development paths in nonlinear systems are central topics. The applications focus on issues such as business cycles, oligopoly, interregional trade dynamics, and economic development theory.

Profiting from Chaos

Profiting from Chaos
Author: Tonis Vaga
Publisher: Tonis Vaga
Total Pages: 284
Release: 1994
Genre: Business & Economics
ISBN: 9780070667860

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Finally, a book that not only explains the relationship between investing and chaos theory--the cutting-edge dicipline that Business Week says will "revitalize the money-management industry"--but also shows readers how to use the theory to master the financial markets. Illustrated.

Equilibrium States and the Ergodic Theory of Anosov Diffeomorphisms

Equilibrium States and the Ergodic Theory of Anosov Diffeomorphisms
Author: Robert Edward Bowen
Publisher: Springer
Total Pages: 76
Release: 2008-04-04
Genre: Mathematics
ISBN: 3540776958

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For this printing of R. Bowen's book, J.-R. Chazottes has retyped it in TeX for easier reading, thereby correcting typos and bibliographic details. From the Preface by D. Ruelle: "Rufus Bowen has left us a masterpiece of mathematical exposition... Here a number of results which were new at the time are presented in such a clear and lucid style that Bowen's monograph immediately became a classic. More than thirty years later, many new results have been proved in this area, but the volume is as useful as ever because it remains the best introduction to the basics of the ergodic theory of hyperbolic systems."

From Equilibrium to Chaos

From Equilibrium to Chaos
Author: Rüdiger Seydel
Publisher: Elsevier Publishing Company
Total Pages: 392
Release: 1988
Genre: Mathematics
ISBN:

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Interaction, Evolution and Chaos in Space

Interaction, Evolution and Chaos in Space
Author: Peter Nijkamp
Publisher: Springer Science & Business Media
Total Pages: 282
Release: 2012-12-06
Genre: Business & Economics
ISBN: 3642775098

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For many decades scholars from various disciplines have been intrigued by the question whether there are unifying principles or models that have a validity in different disciplines. The building of such analytical frameworks bridging the gaps between scientific traditions is a very ambitious task and has not been very successful up till now. In the past - in a static context - several such principles have been defined and advocated at the edge of the natural sciences on the one hand and social sciences (in particular, economics and geography) on the other hand, mainly based on the paradigm of 'social physics'. Some important contributions to the integration of the spatial systems sciences and physics can be found in gravity theory and entropy theory, which have formed the comer stones of interaction models in space. This book is about spatial interaction models. It describes the origin, the history and the correspondence of such models from a 'social physics' perspective. It is emphasized that such models need a clear behavioural underpinning as a sine qua non for a valid use in spatial systems analysis. This view also explains the use of micro-based disaggregate choice models as a tool for analyzing spatial systems. This is mainly analyzed in Part A of this book.