attractors bifurcations and chaos nonlinear phenomena in economics

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Attractors Bifurcations Chaos

Author : Tönu Puu
ISBN : 9783540246992
Genre : Mathematics
File Size : 86. 8 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 : 75. 18 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.

Nonlinear Dynamics In Economics Finance And The Social Sciences

Author : Gian Italo Bischi
ISBN : 3642040233
Genre : Business & Economics
File Size : 59. 7 MB
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Over the last two decades there has been a great deal of research into nonlinear dynamic models in economics, finance and the social sciences. This book contains twenty papers that range over very recent applications in these areas. Topics covered include structural change and economic growth, disequilibrium dynamics and economic policy as well as models with boundedly rational agents. The book illustrates some of the most recent research tools in this area and will be of interest to economists working in economic dynamics and to mathematicians interested in seeing ideas from nonlinear dynamics and complexity theory applied to the economic sciences.

Mathematical Models In Economics Volume I

Author : Wei-Bin Zhang
ISBN : 9781848262287
Genre : Economics
File Size : 56. 64 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.

Topics In Nonlinear Dynamics

Author : Erik Mosekilde
ISBN : 9812382771
Genre : Science
File Size : 73. 24 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.

Diw

Author : Deutsches Institut für Wirtschaftsforschung
ISBN : STANFORD:36105113366517
Genre : Economic history
File Size : 20. 87 MB
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Journal Of Economic Literature

Author :
ISBN : UCSD:31822025439324
Genre : Economics
File Size : 66. 23 MB
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European Economics At A Crossroads

Author :
ISBN : 1848445814
Genre : Business & Economics
File Size : 89. 11 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.

Complex Systems Approach To Economic Dynamics

Author : Abraham C.-L. Chian
ISBN : 9783540397533
Genre : Business & Economics
File Size : 39. 38 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.

Nonlinear Dynamical Systems With Self Excited And Hidden Attractors

Author : Viet-Thanh Pham
ISBN : 9783319712437
Genre : Computers
File Size : 37. 15 MB
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This book highlights the latest findings on nonlinear dynamical systems including two types of attractors: self-excited and hidden attractors. Further, it presents both theoretical and practical approaches to investigating nonlinear dynamical systems with self-excited and hidden attractors. The book includes 20 chapters contributed by respected experts, which focus on various applications such as biological systems, memristor-based systems, fractional-order systems, finance systems, business cycles, oscillators, coupled systems, hyperchaotic systems, flexible robot manipulators, electronic circuits, and control models. Special attention is given to modeling, design, circuit realization, and practical applications to address recent research problems in nonlinear dynamical systems. The book provides a valuable reference guide to nonlinear dynamical systems for engineers, researchers, and graduate students, especially those whose work involves mechanics, electrical engineering, and control systems.

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