Nonlinear Dynamics, Chaos and Econometrics
Nonlinear Dynamics, Chaos and Econometrics

Author: M. Hashem Pesaran

Publisher: Wiley

Published: 1993-06-01

Total Pages: 256

ISBN-13: 9780471939429

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The empirical modeling of economic time series is dominated by methods that assume linearity of the underlying dynamic economic system. The reason for the adoption of linearity is its analytical and computational simplicity. But dynamic economic systems can be far from linear and the challenge facing applied econometrics in constructing reliable statistical techniques and models for handling dynamic nonlinearities is immense. This book examines and assesses the latest techniques in nonlinear dynamics.

Nonlinear Dynamics and Economics
Nonlinear Dynamics and Economics

Author: William A. Barnett

Publisher: Cambridge University Press

Published: 1996-10-28

Total Pages: 426

ISBN-13: 9780521471411

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This 1997 book presents developments in nonlinear economic dynamics along with related research from other fields, including mathematics, statistics, biology, and physics.

Complex and Chaotic Nonlinear Dynamics
Complex and Chaotic Nonlinear Dynamics

Author: Thierry Vialar

Publisher: Springer Science & Business Media

Published: 2009-04-26

Total Pages: 752

ISBN-13: 3540859780

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Complex dynamics constitute a growing and increasingly important area as they offer a strong potential to explain and formalize natural, physical, financial and economic phenomena. This book pursues the ambitious goal to bring together an extensive body of knowledge regarding complex dynamics from various academic disciplines. Beyond its focus on economics and finance, including for instance the evolution of macroeconomic growth models towards nonlinear structures as well as signal processing applications to stock markets, fundamental parts of the book are devoted to the use of nonlinear dynamics in mathematics, statistics, signal theory and processing. Numerous examples and applications, almost 700 illustrations and numerical simulations based on the use of Matlab make the book an essential reference for researchers and students from many different disciplines who are interested in the nonlinear field. An appendix recapitulates the basic mathematical concepts required to use the book.

Chaotic Dynamics
Chaotic Dynamics

Author: Alfredo Medio

Publisher: Cambridge University Press

Published: 1992

Total Pages: 368

ISBN-13: 9780521484619

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The modelling of economic models by means of dynamic systems.

Nonlinear Dynamics
Nonlinear Dynamics

Author: Todd Evans

Publisher: BoD – Books on Demand

Published: 2010-01-01

Total Pages: 378

ISBN-13: 9537619613

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This volume covers a diverse collection of topics dealing with some of the fundamental concepts and applications embodied in the study of nonlinear dynamics. Each of the 15 chapters contained in this compendium generally fit into one of five topical areas: physics applications, nonlinear oscillators, electrical and mechanical systems, biological and behavioral applications or random processes. The authors of these chapters have contributed a stimulating cross section of new results, which provide a fertile spectrum of ideas that will inspire both seasoned researches and students.

Differential Equations, Bifurcations, and Chaos in Economics
Differential Equations, Bifurcations, and Chaos in Economics

Author: Wei-Bin Zhang

Publisher: World Scientific

Published: 2005

Total Pages: 512

ISBN-13: 9812563334

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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.

Nonlinearities in Economics
Nonlinearities in Economics

Author: Giuseppe Orlando

Publisher: Springer Nature

Published: 2021-08-31

Total Pages: 361

ISBN-13: 3030709825

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This interdisciplinary book argues that the economy has an underlying non-linear structure and that business cycles are endogenous, which allows a greater explanatory power with respect to the traditional assumption that dynamics are stochastic and shocks are exogenous. The first part of this work is formal-methodological and provides the mathematical background needed for the remainder, while the second part presents the view that signal processing involves construction and deconstruction of information and that the efficacy of this process can be measured. The third part focuses on economics and provides the related background and literature on economic dynamics and the fourth part is devoted to new perspectives in understanding nonlinearities in economic dynamics: growth and cycles. By pursuing this approach, the book seeks to (1) determine whether, and if so where, common features exist, (2) discover some hidden features of economic dynamics, and (3) highlight specific indicators of structural changes in time series. Accordingly, it is a must read for everyone interested in a better understanding of economic dynamics, business cycles, econometrics and complex systems, as well as non-linear dynamics and chaos theory.

Nonlinear Dynamics and Statistics
Nonlinear Dynamics and Statistics

Author: Alistair I. Mees

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 484

ISBN-13: 1461201772

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This book describes the state of the art in nonlinear dynamical reconstruction theory. The chapters are based upon a workshop held at the Isaac Newton Institute, Cambridge University, UK, in late 1998. The book's chapters present theory and methods topics by leading researchers in applied and theoretical nonlinear dynamics, statistics, probability, and systems theory. Features and topics: * disentangling uncertainty and error: the predictability of nonlinear systems * achieving good nonlinear models * delay reconstructions: dynamics vs. statistics * introduction to Monte Carlo Methods for Bayesian Data Analysis * latest results in extracting dynamical behavior via Markov Models * data compression, dynamics and stationarity Professionals, researchers, and advanced graduates in nonlinear dynamics, probability, optimization, and systems theory will find the book a useful resource and guide to current developments in the subject.

Nonlinear Dynamics and Heterogeneous Interacting Agents
Nonlinear Dynamics and Heterogeneous Interacting Agents

Author: Thomas Lux

Publisher: Springer Science & Business Media

Published: 2006-06-06

Total Pages: 326

ISBN-13: 3540272968

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Economic application of nonlinear dynamics, microscopic agent-based modelling, and the use of artificial intelligence techniques as learning devices of boundedly rational actors are among the most exciting interdisciplinary ventures of economic theory over the past decade. This volume provides us with a most fascinating series of examples on "complexity in action" exemplifying the scope and explanatory power of these innovative approaches.

Nonlinear Econometric Modeling in Time Series
Nonlinear Econometric Modeling in Time Series

Author: William A. Barnett

Publisher: Cambridge University Press

Published: 2000-05-22

Total Pages: 248

ISBN-13: 9780521594240

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This book presents some of the more recent developments in nonlinear time series, including Bayesian analysis and cointegration tests.