Attractors Bifurcations Chaos

Author: Tönu Puu
Publisher: Springer Science & Business Media
ISBN: 3540246991
Format: PDF, ePub, Mobi
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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.

Attractors Bifurcations and Chaos

Author: Tönu Puu
Publisher: Springer Science & Business Media
ISBN: 3662040948
Format: PDF, ePub, Mobi
Download Now
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.

Mathematical Models in Economics Volume I

Author: Wei-Bin Zhang
Publisher: EOLSS Publications
ISBN: 1848262280
Format: PDF, ePub, Mobi
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Mathematical Models in Economics is a component of Encyclopedia of Mathematical Sciences in which is part of the global Encyclopedia of Life Support Systems (EOLSS), an integrated compendium of twenty one Encyclopedias. This theme is organized into several different topics and introduces the applications of mathematics to economics. Mathematical economics has experienced rapid growth, generating many new academic fields associated with the development of mathematical theory and computer. Mathematics is the backbone of modern economics. It plays a basic role in creating ideas, constructing new theories, and empirically testing ideas and theories. Mathematics is now an integral part of economics. The main advances in modern economics are characterized by applying mathematics to various economic problems. Many of today's profound insights into economic problems could hardly be obtained without the help of mathematics. The concepts of equilibrium versus non-equilibrium, stability versus instability, and steady states versus chaos in the contemporary literature are difficult to explain without mathematics. The theme discusses on modern versions of some classical economic theories, taking account of balancing between significance of economic issues and mathematical techniques. These two volumes are aimed at the following five major target audiences: University and College students Educators, Professional practitioners, Research personnel and Policy analysts, managers, and decision makers and NGOs.

Nonlinear Dynamical Systems in Economics

Author: Marji Lines
Publisher: Springer Science & Business Media
ISBN: 3211380434
Format: PDF, ePub
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Many problems in theoretical economics are mathematically formalized as dynam ical systems of difference and differential equations. In recent years a truly open approach to studying the dynamical behavior of these models has begun to make its way into the mainstream. That is, economists formulate their hypotheses and study the dynamics of the resulting models rather than formulating the dynamics and studying hypotheses that could lead to models with such dynamics. This is a great progress over using linear models, or using nonlinear models with a linear approach, or even squeezing economic models into well-studied nonlinear systems from other fields. There are today a number of economic journals open to publishing this type of work and some of these have become important. There are several societies which have annual meetings on the subject and participation at these has been growing at a good rate. And of course there are methods and techniques avail able to a more general audience, as well as a greater availability of software for numerical and graphical analysis that makes this type of research even more excit ing. The lecturers for the Advanced School on Nonlinear Dynamical Systems in Economics, who represent a wide selection of the research areas to which the the ory has been applied, agree on the importance of simulations and computer-based analysis. The School emphasized computer applications of models and methods, and all contributors ran computer lab sessions.

DIW

Author: Deutsches Institut für Wirtschaftsforschung
Publisher:
ISBN:
Format: PDF, ePub, Mobi
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Complex Systems Approach to Economic Dynamics

Author: Abraham C.-L. Chian
Publisher: Springer Science & Business Media
ISBN: 3540397531
Format: PDF, Docs
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Statistical analysis of stock markets and foreign exchange markets has demonstrated the intermittent nature of economic time series. A nonlinear model of business cycles is able to simulate intermittency arising from order-chaos and chaos-chaos transitions. This monograph introduces new concepts of unstable periodic orbits and chaotic saddles, which are unstable structures embedded in a chaotic attractor and responsible for economic intermittency.

Cycles and Chaos in Economic Equilibrium

Author: Jess Benhabib
Publisher: Princeton University Press
ISBN: 9780691003924
Format: PDF, ePub
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In recent years economists have begun to use the techniques of non-linear dynamics to show that some apparently erratic and turbulent economic phenomena reflect subtle underlying patterns. How do cyclic and chaotic dynamics arise in economic models of equilibrium? How can empirical methods be used to detect nonlinearities and cyclic and chaotic structures in economic models? In examining these questions, this book brings together the most significant work that has been done to date in economics-based chaos theory. Selected here particularly for the economist who is not a specialist in chaos theory, the essays, some previously unpublished and others not widely available, describe a new tool for understanding business cycles, stabilization policy, and forecasting. The contributors to the volume are William J. Baumol, Jess Benhabib, Michele Boldrin, William A. Brock, Richard H. Day, Raymond J. Deneckere, Allan Drazen, Jean-Michel Grandmont, Kenneth L. Judd, Bruno Jullien, Guy Laroque, Blake LeBaron, Bruce McNevin, Luigi Montrucchio, Salih Nefti, Kazuo Nishimura, James B. Ramsey, Pietro Reichlin, Philip Rothman, Chera L. Sayers, Jos A. Scheinkman, Wayne Shafer, William Whitesell, Edward N. Wolff, and Michael Woodford.

European Economics at a Crossroads

Author:
Publisher: Edward Elgar Publishing
ISBN: 9781848445819
Format: PDF
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As Europe moves toward an integrated academic system, European economics is changing. This book discusses that change, along with the changes that are happening simultaneously within the economics profession. The authors argue that modern economics can no longer usefully be described as `neoclassical', but is much better described as complexity economics. The complexity approach embraces rather than assumes away the complexities of social interaction. The authors also argue that despite all the problems with previous European academic structures, those structures allowed for more diversity than exists in US universities, and thus were often ahead of US universities in exploring new cutting-edge approaches. The authors further argue that by trying to judge themselves by US-centric measures and to copy US universities the European economics profession is undermining some of the strengths of the older system - strengths on which it should be building. While the authors agree that European economics needs to go through major changes in the coming decade, they argue that by building on Europe's strengths, rather than trying to follow a US example, Europe will be more likely to become the global leader in economics in the coming decades rather than a second-rate copy of the US. The book consists of two chapters spelling out the authors' view of the changes in economics and European economics. This is followed by 11 interviews with a diverse set of innovative European economists from a range of European countries. In the interviews these European economists reflect on the ongoing changes in economics generally and in European economics specifically. These interviews demonstrate how the economics profession is moving away from traditional neoclassical economics into a dynamic set of new methods and approaches (incorporating work in behavioral economics, experimental economics, evolutionary game theory and ecological approaches, complexity and nonlinear dynamics, methodological analysis, and agent-based modeling) that the authors classify as complexity economics. This fascinating and easy-to-read book will prove a stimulating and thought-provoking read for those with an interest in economics, European education, and the nature of academic disciplines generally.

Networks in the First Global Age 1400 1800

Author: Rila Mukherjee
Publisher: Primus Books
ISBN:
Format: PDF, ePub, Mobi
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The dynamics of the maritime world has held the fascination of researchers and scholars of history for long. Viewing the waterscapes as conduits of much economic and cultural sharing between peoples and lands, the focus of Networks in the First Global Age: 1400-1800 is on the oceans and seas--the Indian, the Atlantic and the Pacific Oceans and the Mediterranean Sea--and economic, military and cultural transmissions within and across them.The book shows how conventional arguments in history writing about the rise of theWest, the hegemon of the State and the might of overseas colonial empires can beoverturned by emphasizing on dynamic, collaborative, nonlinear networks as opposed toformal networks based on hierarchy. Such networks signal a completely different pictureabout global interactions in the period 1400-1800, emphasizing the centrality of peoples andcommodities at different times in different parts of the world. More importantly, the bookchallenges chronological readings and urges us to think spatially instead.With contributions from Indian, American, French and Iberian scholars, Networks in the First Global Age: 1400-1800 tells us what happens when the sea of history meets the sea ofnetwork analysis.