Discrete Dynamical Systems Bifurcations And Chaos In Economics

Discrete Dynamical Systems Bifurcations And Chaos In Economics Book in PDF, ePub and Kindle version is available to download in english. Read online anytime anywhere directly from your device. Click on the download button below to get a free pdf file of Discrete Dynamical Systems Bifurcations And Chaos In Economics book. This book definitely worth reading, it is an incredibly well-written.

Discrete Dynamical Systems, Bifurcations and Chaos in Economics

Wei-Bin Zhang
Discrete Dynamical Systems Bifurcations and Chaos in Economics Book PDF

Author : Wei-Bin Zhang
Publisher : Elsevier
Page : 460 pages
File Size : 51,6 Mb
Release : 2006-01-05
Category : Mathematics
ISBN : 0080462464

Get Book

Discrete Dynamical Systems, Bifurcations and Chaos in Economics by Wei-Bin Zhang Pdf

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

Wei-Bin Zhang
Differential Equations Bifurcations and Chaos in Economics Book PDF

Author : Wei-Bin Zhang
Publisher : World Scientific
Page : 512 pages
File Size : 49,9 Mb
Release : 2005
Category : Business & Economics
ISBN : 9789812563330

Get Book

Differential Equations, Bifurcations, and Chaos in Economics by Wei-Bin Zhang Pdf

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

Hans-Walter Lorenz
Nonlinear Dynamical Economics and Chaotic Motion Book PDF

Author : Hans-Walter Lorenz
Publisher : Springer Science & Business Media
Page : 248 pages
File Size : 46,9 Mb
Release : 2013-06-29
Category : Business & Economics
ISBN : 9783662222331

Get Book

Nonlinear Dynamical Economics and Chaotic Motion by Hans-Walter Lorenz Pdf

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

Alfredo Medio,Giampaolo Gallo
Chaotic Dynamics Book PDF

Author : Alfredo Medio,Giampaolo Gallo
Publisher : Cambridge University Press
Page : 368 pages
File Size : 55,9 Mb
Release : 1992
Category : Business & Economics
ISBN : 0521484618

Get Book

Chaotic Dynamics by Alfredo Medio,Giampaolo Gallo Pdf

The modelling of economic models by means of dynamic systems.

Attractors, Bifurcations, & Chaos

Tönu Puu
Attractors Bifurcations Chaos Book PDF

Author : Tönu Puu
Publisher : Springer Science & Business Media
Page : 556 pages
File Size : 45,7 Mb
Release : 2013-03-19
Category : Mathematics
ISBN : 9783540246992

Get Book

Attractors, Bifurcations, & Chaos by Tönu Puu Pdf

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

Oded Galor
Discrete Dynamical Systems Book PDF

Author : Oded Galor
Publisher : Springer Science & Business Media
Page : 159 pages
File Size : 45,9 Mb
Release : 2007-05-17
Category : Business & Economics
ISBN : 9783540367765

Get Book

Discrete Dynamical Systems by Oded Galor Pdf

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.

Mathematical Models in Economics - Volume I

Wei-Bin Zhang
Mathematical Models in Economics Volume I Book PDF

Author : Wei-Bin Zhang
Publisher : EOLSS Publications
Page : 520 pages
File Size : 49,9 Mb
Release : 2009-06-10
Category : Economics
ISBN : 9781848262287

Get Book

Mathematical Models in Economics - Volume I by Wei-Bin Zhang Pdf

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.

Nonlinearity, Bounded Rationality, and Heterogeneity

Tamotsu Onozaki
Nonlinearity Bounded Rationality and Heterogeneity Book PDF

Author : Tamotsu Onozaki
Publisher : Springer
Page : 220 pages
File Size : 54,5 Mb
Release : 2018-01-28
Category : Business & Economics
ISBN : 9784431549710

Get Book

Nonlinearity, Bounded Rationality, and Heterogeneity by Tamotsu Onozaki Pdf

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.

Nonlinear Dynamical Systems in Economics

Marji Lines
Nonlinear Dynamical Systems in Economics Book PDF

Author : Marji Lines
Publisher : Springer Science & Business Media
Page : 238 pages
File Size : 51,6 Mb
Release : 2007-03-23
Category : Business & Economics
ISBN : 9783211380437

Get Book

Nonlinear Dynamical Systems in Economics by Marji Lines Pdf

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.

Encyclopedia of Business Analytics and Optimization

Wang, John
Encyclopedia of Business Analytics and Optimization Book PDF

Author : Wang, John
Publisher : IGI Global
Page : 2754 pages
File Size : 55,5 Mb
Release : 2014-02-28
Category : Business & Economics
ISBN : 9781466652033

Get Book

Encyclopedia of Business Analytics and Optimization by Wang, John Pdf

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.

Nonlinear Dynamics and Chaos

Steven H. Strogatz
Nonlinear Dynamics and Chaos Book PDF

Author : Steven H. Strogatz
Publisher : CRC Press
Page : 532 pages
File Size : 54,8 Mb
Release : 2018-05-04
Category : Mathematics
ISBN : 9780429961113

Get Book

Nonlinear Dynamics and Chaos by Steven H. Strogatz Pdf

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.

Advances in Chaos Theory and Intelligent Control

Ahmad Taher Azar,Sundarapandian Vaidyanathan
Advances in Chaos Theory and Intelligent Control Book PDF

Author : Ahmad Taher Azar,Sundarapandian Vaidyanathan
Publisher : Springer
Page : 873 pages
File Size : 52,6 Mb
Release : 2016-04-15
Category : Technology & Engineering
ISBN : 9783319303406

Get Book

Advances in Chaos Theory and Intelligent Control by Ahmad Taher Azar,Sundarapandian Vaidyanathan Pdf

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.

Replication of Chaos in Neural Networks, Economics and Physics

Marat Akhmet,Mehmet Onur Fen
Replication of Chaos in Neural Networks Economics and Physics Book PDF

Author : Marat Akhmet,Mehmet Onur Fen
Publisher : Springer
Page : 457 pages
File Size : 45,8 Mb
Release : 2015-08-13
Category : Science
ISBN : 9783662475003

Get Book

Replication of Chaos in Neural Networks, Economics and Physics by Marat Akhmet,Mehmet Onur Fen Pdf

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.

International Trade Theory

Wei-Bin Zhang
International Trade Theory Book PDF

Author : Wei-Bin Zhang
Publisher : Springer Science & Business Media
Page : 415 pages
File Size : 55,6 Mb
Release : 2008-04-23
Category : Business & Economics
ISBN : 9783540782650

Get Book

International Trade Theory by Wei-Bin Zhang Pdf

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.

MATHEMATICAL MODELS – Volume III

Jerzy A. Filar,Jacek B Krawczyk
MATHEMATICAL MODELS Volume III Book PDF

Author : Jerzy A. Filar,Jacek B Krawczyk
Publisher : EOLSS Publications
Page : 398 pages
File Size : 49,5 Mb
Release : 2009-09-19
Category : Mathematical models
ISBN : 9781848262447

Get Book

MATHEMATICAL MODELS – Volume III by Jerzy A. Filar,Jacek B Krawczyk Pdf

Mathematical Models is a component of Encyclopedia of Mathematical Sciences in the global Encyclopedia of Life Support Systems (EOLSS), which is an integrated compendium of twenty one Encyclopedias. The Theme on Mathematical Models discusses matters of great relevance to our world such as: Basic Principles of Mathematical Modeling; Mathematical Models in Water Sciences; Mathematical Models in Energy Sciences; Mathematical Models of Climate and Global Change; Infiltration and Ponding; Mathematical Models of Biology; Mathematical Models in Medicine and Public Health; Mathematical Models of Society and Development. These three 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.