Differential Equations, Stability, and Chaos in Dynamic Economics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Differential Equations, Stability, and Chaos in Dynamic Economics write by William A. Brock. This book was released on 1989. Differential Equations, Stability, and Chaos in Dynamic Economics available in PDF, EPUB and Kindle. This is the first economics work of its kind offering the economist the opportunity to acquire new and important analytical tools. It introduces the reader to three advanced mathematical methods by presenting both their theoretical bases and their applications to a wide range of economic models. The mathematical methods presented are ordinary differential equations, stability techniques and chaotic dynamics. Topics such as existence, continuation of solutions, uniqueness, dependence on initial data and parameters, linear systems, stability of linear systems, two dimensional phase analysis, local and global stability, the stability manifold, stability of optimal control and empirical tests for chaotic dynamics are covered and their use in economic theory is illustrated in numerous applications. These applications include microeconomic dynamics, investment theory, macroeconomic policies, capital theory, business cycles, financial economics and many others. All chapters conclude with two sections on miscellaneous applications and exercises and further remarks and references. In total the reader will find a valuable guide to over 500 selected references that use differential equations, stability analysis and chaotic dynamics. Graduate students in economics with a special interest in economic theory, economic researchers and applied mathematicians will all benefit from this volume.
Differential Equations, Bifurcations, and Chaos in Economics
Differential Equations, Bifurcations, and Chaos in Economics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Differential Equations, Bifurcations, and Chaos in Economics write by Wei-Bin Zhang. This book was released on 2005. Differential Equations, Bifurcations, and Chaos in Economics available in PDF, EPUB and Kindle. 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.
Chaotic Dynamics
Chaotic Dynamics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Chaotic Dynamics write by Alfredo Medio. This book was released on 1992. Chaotic Dynamics available in PDF, EPUB and Kindle. The modelling of economic models by means of dynamic systems.
Discrete Dynamical Systems, Bifurcations and Chaos in Economics
Discrete Dynamical Systems, Bifurcations and Chaos in Economics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Discrete Dynamical Systems, Bifurcations and Chaos in Economics write by Wei-Bin Zhang. This book was released on 2006-01-05. Discrete Dynamical Systems, Bifurcations and Chaos in Economics available in PDF, EPUB and Kindle. 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
Nonlinear Dynamical Economics and Chaotic Motion
Nonlinear Dynamical Economics and Chaotic Motion - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Nonlinear Dynamical Economics and Chaotic Motion write by Hans-Walter Lorenz. This book was released on 2012-12-06. Nonlinear Dynamical Economics and Chaotic Motion available in PDF, EPUB and Kindle. Usually, the first edition of a book still contains a multiplicity of typographic, con ceptional, and computational errors even if one believes the opposite at the time of publication. As this book did not represent a counterexample to this rule, the current second edition offers a chance to remove at least the known shortcomings. The book has been partly re-organized. The previously rather long Chapter 4 has been split into two separate chapters dealing with discrete-time and continuous time approaches to nonlinear economic dynamics. The short summary of basic properties of linear dynamical systems has been banned to an appendix because the line of thought in the chapter seems to have been unnecessarily interrupted by these technical details and because the book concentrates on nonlinear systems. This appendix, which mainly deals with special formal properties of dynamical sys tems, also contains some new material on invariant subspaces and center-manifold reductions. A brief introduction into the theory of lags and operators is followed by a few remarks on the relation between the 'true' properties of dynamical systems and their behavior observable in numerical experiments. Additional changes in the main part of the book include a re-consideration of Popper's determinism vs. inde terminism discussion in the light of chaotic properties of deterministic, nonlinear systems in Chapter 1. An investigation of a simultaneous price-quantity adjustment process, a more detailed inquiry into the uniqueness property of limit cycles, and a short presentation of relaxation oscillations are included in Chapter 2.
