Discrete Dynamical Systems Bifurcations And Chaos In Economics

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Discrete Dynamical Systems, Bifurcations and Chaos in Economics

Author : Wei-Bin Zhang
Publisher : Elsevier
ISBN 13 : 9780080462462
Total Pages : 460 pages
Book Rating : 4.4/5 (624 download)

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Book Synopsis Discrete Dynamical Systems, Bifurcations and Chaos in Economics by : Wei-Bin Zhang

Download or read book Discrete Dynamical Systems, Bifurcations and Chaos in Economics written by Wei-Bin Zhang and published by Elsevier. This book was released on 2006-01-05 with total page 460 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a unique blend of difference equations theory and its exciting applications to economics. It deals with not only theory of linear (and linearized) difference equations, but also nonlinear dynamical systems which have been widely applied to economic analysis in recent years. It studies most important concepts and theorems in difference equations theory in a way that can be understood by anyone who has basic knowledge of calculus and linear algebra. It contains well-known applications and many recent developments in different fields of economics. The book also simulates many models to illustrate paths of economic dynamics. A unique book concentrated on theory of discrete dynamical systems and its traditional as well as advanced applications to economics Mathematical definitions and theorems are introduced in a systematic and easily accessible way Examples are from almost all fields of economics; technically proceeding from basic to advanced topics Lively illustrations with numerous figures Numerous simulation to see paths of economic dynamics Comprehensive treatment of the subject with a comprehensive and easily accessible approach

Differential Equations, Bifurcations, and Chaos in Economics

Author : Wei-Bin Zhang
Publisher : World Scientific
ISBN 13 : 9812563334
Total Pages : 512 pages
Book Rating : 4.8/5 (125 download)

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Book Synopsis Differential Equations, Bifurcations, and Chaos in Economics by : Wei-Bin Zhang

Download or read book Differential Equations, Bifurcations, and Chaos in Economics written by Wei-Bin Zhang and published by World Scientific. This book was released on 2005 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although the application of differential equations to economics is a vast and vibrant area, the subject has not been systematically studied; it is often treated as a subsidiary part of mathematical economics textbooks. This book aims to fill that void by providing a unique blend of the theory of differential equations and their exciting applications to dynamic economics. Containing not just a comprehensive introduction to the applications of the theory of linear (and linearized) differential equations to economic analysis, the book also studies nonlinear dynamical systems, which have only been widely applied to economic analysis in recent years. It provides comprehensive coverage of the most important concepts and theorems in the theory of differential equations in a way that can be understood by any reader who has a basic knowledge of calculus and linear algebra. In addition to traditional applications of the theory to economic dynamics, the book includes many recent developments in different fields of economics.

Nonlinear Dynamical Economics and Chaotic Motion

Author : Hans-Walter Lorenz
Publisher : Springer Science & Business Media
ISBN 13 : 3662222337
Total Pages : 248 pages
Book Rating : 4.6/5 (622 download)

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Book Synopsis Nonlinear Dynamical Economics and Chaotic Motion by : Hans-Walter Lorenz

Download or read book Nonlinear Dynamical Economics and Chaotic Motion written by Hans-Walter Lorenz and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: The plan to publish the present book arose while I was preparing a joint work with Gunter Gabisch (Gabisch, G. /Lorenz, H. -W. : Business Cycle Theory. Berlin-Heidel berg-New York: Springer). It turned out that a lot of interesting material could only be sketched in a business cycle text, either because the relevance for business cycle theory was not evident or because the material required an interest in dynamical economics which laid beyond the scope of a survey text for advanced undergraduates. While much of the material enclosed in this book can be found in condensed and sometimes more or less identical form in that business cycle text, the present monograph attempts to present nonlinear dynamical economics in a broader context with economic examples from other fields than business cycle theory. It is a pleasure for me to acknowledge the critical comments, extremely detailed remarks, or suggestions by many friends and colleagues. The responses to earlier versions of the manuscript by W. A. Barnett, M. Boldrin, W. A. Brock, C. Chiarella, C. Dale, G. Feichtinger, P. Flaschel, D. K. Foley, R. M. Goodwin, D. Kelsey, M. Lines, A. Medio, L. Montrucchio, P. Read, C. Sayers, A. Schmutzler, H. Schnabl, G. Silverberg, H. -\'\!. Sinn, J. Sterman, and R. Tscherning not only encouraged me to publish the book in its present form but helped to remove numerous errors (not only typographic ones) and conceptnal misunderstandings and flaws. Particular thanks go to G.

Chaotic Dynamics

Author : Alfredo Medio
Publisher : Cambridge University Press
ISBN 13 : 9780521484619
Total Pages : 368 pages
Book Rating : 4.4/5 (846 download)

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Book Synopsis Chaotic Dynamics by : Alfredo Medio

Download or read book Chaotic Dynamics written by Alfredo Medio and published by Cambridge University Press. This book was released on 1992 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: The modelling of economic models by means of dynamic systems.

Attractors, Bifurcations, & Chaos

Author : Tönu Puu
Publisher : Springer Science & Business Media
ISBN 13 : 3540246991
Total Pages : 556 pages
Book Rating : 4.5/5 (42 download)

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Book Synopsis Attractors, Bifurcations, & Chaos by : Tönu Puu

Download or read book Attractors, Bifurcations, & Chaos written by Tönu Puu and published by Springer Science & Business Media. This book was released on 2013-03-19 with total page 556 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 13 : 1848262280
Total Pages : 520 pages
Book Rating : 4.8/5 (482 download)

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Book Synopsis Mathematical Models in Economics - Volume I by : Wei-Bin Zhang

Download or read book Mathematical Models in Economics - Volume I written by Wei-Bin Zhang and published by EOLSS Publications. This book was released on 2009-06-10 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Attractors, Bifurcations, and Chaos

Author : Tönu Puu
Publisher : Springer
ISBN 13 :
Total Pages : 528 pages
Book Rating : 4.:/5 (321 download)

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Book Synopsis Attractors, Bifurcations, and Chaos by : Tönu Puu

Download or read book Attractors, Bifurcations, and Chaos written by Tönu Puu and published by Springer. This book was released on 2000-03-06 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Discrete Dynamical Systems

Author : Oded Galor
Publisher : Springer Science & Business Media
ISBN 13 : 3540367764
Total Pages : 159 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Discrete Dynamical Systems by : Oded Galor

Download or read book Discrete Dynamical Systems written by Oded Galor and published by Springer Science & Business Media. This book was released on 2007-05-17 with total page 159 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introduction to discrete dynamical systems – a framework of analysis that is commonly used in the ?elds of biology, demography, ecology, economics, engineering, ?nance, and physics. The book characterizes the fundamental factors that govern the quantitative and qualitative trajectories of a variety of deterministic, discrete dynamical systems, providing solution methods for systems that can be solved analytically and methods of qualitative analysis for those systems that do not permit or necessitate an explicit solution. The analysis focuses initially on the characterization of the factors that govern the evolution of state variables in the elementary context of one-dimensional, ?rst-order, linear, autonomous systems. The f- damental insights about the forces that a?ect the evolution of these - ementary systems are subsequently generalized, and the determinants of the trajectories of multi-dimensional, nonlinear, higher-order, non- 1 autonomous dynamical systems are established. Chapter 1 focuses on the analysis of the evolution of state variables in one-dimensional, ?rst-order, autonomous systems. It introduces a method of solution for these systems, and it characterizes the traj- tory of a state variable, in relation to a steady-state equilibrium of the system, examining the local and global (asymptotic) stability of this steady-state equilibrium. The ?rst part of the chapter characterizes the factors that determine the existence, uniqueness and stability of a steady-state equilibrium in the elementary context of one-dimensional, ?rst-order, linear autonomous systems.

Attractors, Bifurcations, & Chaos

Author : Tönu Puu
Publisher : Springer Science & Business Media
ISBN 13 : 9783540402268
Total Pages : 572 pages
Book Rating : 4.4/5 (22 download)

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Book Synopsis Attractors, Bifurcations, & Chaos by : Tönu Puu

Download or read book Attractors, Bifurcations, & Chaos written by Tönu Puu and published by Springer Science & Business Media. This book was released on 2003-07-10 with total page 572 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 Dynamical Systems in Economics

Author : Marji Lines
Publisher : Springer Science & Business Media
ISBN 13 : 3211380434
Total Pages : 238 pages
Book Rating : 4.2/5 (113 download)

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Book Synopsis Nonlinear Dynamical Systems in Economics by : Marji Lines

Download or read book Nonlinear Dynamical Systems in Economics written by Marji Lines and published by Springer Science & Business Media. This book was released on 2007-03-23 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Replication of Chaos in Neural Networks, Economics and Physics

Author : Marat Akhmet
Publisher : Springer
ISBN 13 : 3662475006
Total Pages : 457 pages
Book Rating : 4.6/5 (624 download)

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Book Synopsis Replication of Chaos in Neural Networks, Economics and Physics by : Marat Akhmet

Download or read book Replication of Chaos in Neural Networks, Economics and Physics written by Marat Akhmet and published by Springer. This book was released on 2015-08-13 with total page 457 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents detailed descriptions of chaos for continuous-time systems. It is the first-ever book to consider chaos as an input for differential and hybrid equations. Chaotic sets and chaotic functions are used as inputs for systems with attractors: equilibrium points, cycles and tori. The findings strongly suggest that chaos theory can proceed from the theory of differential equations to a higher level than previously thought. The approach selected is conducive to the in-depth analysis of different types of chaos. The appearance of deterministic chaos in neural networks, economics and mechanical systems is discussed theoretically and supported by simulations. As such, the book offers a valuable resource for mathematicians, physicists, engineers and economists studying nonlinear chaotic dynamics.

Nonlinear Dynamics and Chaos

Author : Steven H. Strogatz
Publisher : CRC Press
ISBN 13 : 0429961111
Total Pages : 532 pages
Book Rating : 4.4/5 (299 download)

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Book Synopsis Nonlinear Dynamics and Chaos by : Steven H. Strogatz

Download or read book Nonlinear Dynamics and Chaos written by Steven H. Strogatz and published by CRC Press. This book was released on 2018-05-04 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook is aimed at newcomers to nonlinear dynamics and chaos, especially students taking a first course in the subject. The presentation stresses analytical methods, concrete examples, and geometric intuition. The theory is developed systematically, starting with first-order differential equations and their bifurcations, followed by phase plane analysis, limit cycles and their bifurcations, and culminating with the Lorenz equations, chaos, iterated maps, period doubling, renormalization, fractals, and strange attractors.

Nonlinearity, Bounded Rationality, and Heterogeneity

Author : Tamotsu Onozaki
Publisher : Springer
ISBN 13 : 4431549714
Total Pages : 220 pages
Book Rating : 4.4/5 (315 download)

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Book Synopsis Nonlinearity, Bounded Rationality, and Heterogeneity by : Tamotsu Onozaki

Download or read book Nonlinearity, Bounded Rationality, and Heterogeneity written by Tamotsu Onozaki and published by Springer. This book was released on 2018-01-28 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book pursues a nonlinear approach in considering both chaotic dynamical models and agent-based simulation models of economics, as well as their dynamical behaviors. Three key concepts arising in this context are “nonlinearity,” “bounded rationality” and “heterogeneity,” which also make up the title of the book. Nonlinearity is the warp that runs throughout all models because systems that exhibit chaotic or other complex behavior in the absence of any exogenous disturbances are absolutely nonlinear. Bounded rationality constitutes the woof, because economic systems do not exhibit complex behavior if all agents are perfectly rational, as is usually assumed in neoclassical economics. Agents who are boundedly rational have to struggle to do their best with limited information and tend to adapt to their economic environment without knowing what is the best. Furthermore, the heterogeneity of firms or consumers dyes the fabric of complex dynamics woven from the warp and woof.

Encyclopedia of Business Analytics and Optimization

Author : Wang, John
Publisher : IGI Global
ISBN 13 : 1466652039
Total Pages : 2754 pages
Book Rating : 4.4/5 (666 download)

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Book Synopsis Encyclopedia of Business Analytics and Optimization by : Wang, John

Download or read book Encyclopedia of Business Analytics and Optimization written by Wang, John and published by IGI Global. This book was released on 2014-02-28 with total page 2754 pages. Available in PDF, EPUB and Kindle. Book excerpt: As the age of Big Data emerges, it becomes necessary to take the five dimensions of Big Data- volume, variety, velocity, volatility, and veracity- and focus these dimensions towards one critical emphasis - value. The Encyclopedia of Business Analytics and Optimization confronts the challenges of information retrieval in the age of Big Data by exploring recent advances in the areas of knowledge management, data visualization, interdisciplinary communication, and others. Through its critical approach and practical application, this book will be a must-have reference for any professional, leader, analyst, or manager interested in making the most of the knowledge resources at their disposal.

International Trade Theory

Author : Wei-Bin Zhang
Publisher : Springer Science & Business Media
ISBN 13 : 3540782656
Total Pages : 415 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis International Trade Theory by : Wei-Bin Zhang

Download or read book International Trade Theory written by Wei-Bin Zhang and published by Springer Science & Business Media. This book was released on 2008-04-23 with total page 415 pages. Available in PDF, EPUB and Kindle. Book excerpt: The development of international trade theory has created a wide array of different theories, concepts and results. Nevertheless, trade theory has been split between partial and conflicting representations of international e- nomic interactions. Diverse trade models have co-existed but not in a structured relationship with each other. Economic students are introduced to international economic interactions with severally incompatible theories in the same course. In order to overcome incoherence among multiple theories, we need a general theoretical framework in a unified manner to draw together all of the disparate branches of trade theory into a single - ganized system of knowledge. This book provides a powerful – but easy to operate - engine of analysis that sheds light not only on trade theory per se, but on many other dim- sions that interact with trade, including inequality, saving propensities, education, research policy, and knowledge. Building and analyzing various tractable and flexible models within a compact whole, the book helps the reader to visualize economic life as an endless succession of physical ca- tal accumulation, human capital accumulation, innovation wrought by competition, monopoly and government intervention. The book starts with the traditional static trade theories. Then, it develops dynamic models with capital and knowledge under perfect competition and/or monopolistic competition. The uniqueness of the book is about modeling trade dyn- ics.

Advances in Chaos Theory and Intelligent Control

Author : Ahmad Taher Azar
Publisher : Springer
ISBN 13 : 3319303406
Total Pages : 873 pages
Book Rating : 4.3/5 (193 download)

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Book Synopsis Advances in Chaos Theory and Intelligent Control by : Ahmad Taher Azar

Download or read book Advances in Chaos Theory and Intelligent Control written by Ahmad Taher Azar and published by Springer. This book was released on 2016-04-15 with total page 873 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book reports on the latest advances in and applications of chaos theory and intelligent control. Written by eminent scientists and active researchers and using a clear, matter-of-fact style, it covers advanced theories, methods, and applications in a variety of research areas, and explains key concepts in modeling, analysis, and control of chaotic and hyperchaotic systems. Topics include fractional chaotic systems, chaos control, chaos synchronization, memristors, jerk circuits, chaotic systems with hidden attractors, mechanical and biological chaos, and circuit realization of chaotic systems. The book further covers fuzzy logic controllers, evolutionary algorithms, swarm intelligence, and petri nets among other topics. Not only does it provide the readers with chaos fundamentals and intelligent control-based algorithms; it also discusses key applications of chaos as well as multidisciplinary solutions developed via intelligent control. The book is a timely and comprehensive reference guide for graduate students, researchers, and practitioners in the areas of chaos theory and intelligent control.

Chaos, Complexity, And Nonlinear Economic Theory

Author : Wei-bin Zhang
Publisher : World Scientific
ISBN 13 : 981126743X
Total Pages : 228 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Chaos, Complexity, And Nonlinear Economic Theory by : Wei-bin Zhang

Download or read book Chaos, Complexity, And Nonlinear Economic Theory written by Wei-bin Zhang and published by World Scientific. This book was released on 2023-05-17 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: What do economic chaos and uncertainties mean in rational or irrational economic theories? How do simple deterministic interactions among a few variables lead to unpredictable complex phenomena? Why is complexity of economies causing so many conflicts and confusions worldwide?This book provides a comprehensive introduction to recent developments of complexity theory in economics. It presents different models based on well-accepted economic mechanisms such as the Solow model, Ramsey model, and Lucas model. It is focused on presenting complex behaviors, such as business cycles, aperiodic motion, bifurcations, catastrophes, chaos, and hidden attractors, in basic economic models with nonlinear behavior. It shows how complex nonlinear phenomena are identified from various economic mechanisms and theories. These models demonstrate that the traditional or dominant economic views on evolution of, for instance, capitalism market, free competition, or Keynesian economics, are not generally valid. Markets are unpredictable and nobody knows with certainty the consequences of policies or other external factors in economic systems with simple interactions.