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.
Attractors, Bifurcations, & Chaos
Attractors, Bifurcations, & Chaos - 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 Attractors, Bifurcations, & Chaos write by Tönu Puu. This book was released on 2013-03-19. Attractors, Bifurcations, & Chaos available in PDF, EPUB and Kindle. 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
Attractors, Bifurcations, and Chaos - 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 Attractors, Bifurcations, and Chaos write by Tönu Puu. This book was released on 2013-04-17. Attractors, Bifurcations, and Chaos available in PDF, EPUB and Kindle. 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.
Differential Equations, Stability, and Chaos in Dynamic Economics
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.
Replication of Chaos in Neural Networks, Economics and Physics
Replication of Chaos in Neural Networks, Economics and Physics - 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 Replication of Chaos in Neural Networks, Economics and Physics write by Marat Akhmet. This book was released on 2015-08-13. Replication of Chaos in Neural Networks, Economics and Physics available in PDF, EPUB and Kindle. 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.
