attractors bifurcations and chaos nonlinear phenomena in economics

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Attractors Bifurcations Chaos

Author : Tönu Puu
ISBN : 9783540246992
Genre : Mathematics
File Size : 31. 5 MB
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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
ISBN : 9783662040942
Genre : Business & Economics
File Size : 33. 3 MB
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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.

Mathematical Models In Economics Volume I

Author : Wei-Bin Zhang
ISBN : 9781848262287
Genre : Economics
File Size : 46. 16 MB
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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 Dynamics

Author : Alfredo Medio
ISBN : 0521558743
Genre : Business & Economics
File Size : 48. 68 MB
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An advanced undergraduate and graduate textbook on the theory of nonlinear dynamical systems.

Synergetic Economics

Author : Wei-Bin Zhang
ISBN : 9783642759093
Genre : Business & Economics
File Size : 60. 89 MB
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Synergetic Economics presents a new advance in analytical economics. It deals with problems related to time and change in economic systems, including complex aspects, such as the effects of nonlinearity, instability, bifurcation and chaos in economic evolution. The author argues that economic systems may run through a hierarchy of instabilities in which more and more structural patterns evolve. Such instabilities are caused by changes in the external parameters of the system. They may lead to new spatial-temporal patterns of the system. A number of explicit examples are provided to show how such behavior can occur in various dynamic economic systems. Analytical methods are also presented to cope with nonlinear problems. Of particular interest are sudden (structural) changes, the existence of regular and irregular oscillations, the role of random factors in economic evolution, and the effects of time scales and rates of adjustment of economic variables in economic analysis. The author carefully examines the implications of nonlinear phenomena for decision making, and for economic development in general.

Diw

Author : Deutsches Institut für Wirtschaftsforschung
ISBN : STANFORD:36105113366517
Genre : Economic history
File Size : 74. 50 MB
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Journal Of Economic Literature

Author :
ISBN : UCSD:31822025439324
Genre : Economics
File Size : 27. 15 MB
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Topics In Nonlinear Dynamics

Author : Erik Mosekilde
ISBN : 9812382771
Genre : Science
File Size : 90. 84 MB
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Through a series of examples from physics, engineering, biology and economics, this book illustrates the enormous potential for application of ideas and concepts from nonlinear dynamics and chaos theory. The overlap with examples published in other books is virtually equal to zero. The book takes the reader from detailed studies of bifurcation structures of relativity simple models to pattern formation in spatially extended systems. The book also discusses the different perspectives that nonlinear dynamics brings to different fields of science.

Complex Systems Approach To Economic Dynamics

Author : Abraham C.-L. Chian
ISBN : 9783540397533
Genre : Business & Economics
File Size : 54. 97 MB
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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.

European Economics At A Crossroads

Author :
ISBN : 1848445814
Genre : Business & Economics
File Size : 62. 33 MB
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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.

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