Download or read book Macroeconomic Theory written by Volker Böhm and published by Springer. This book was released on 2017-10-30 with total page 437 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook offers a unique approach to macroeconomic theory built on microeconomic foundations of monetary macroeconomics within a unified framework of an intertemporal general equilibrium model extended to a sequential and dynamic analysis. It investigates the implications of expectations and of stationary fiscal policies on allocations, on the quantity of money, and on the dynamic evolution of the economy with and without noise. The text contrasts and compares the two main competing approaches in macroeconomics within the same intertemporal model of a closed monetary economy: the one postulating full price flexibility to guarantee equilibrium in all markets at all times under perfect foresight or rational expectations, versus the so called disequilibrium approach where trading occurs at non- market-clearing prices and wages when these adjust sluggishly from period to period in response to market disequilibrium signals.

Download or read book Elements of Applied Bifurcation Theory written by Yuri Kuznetsov and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 648 pages. Available in PDF, EPUB and Kindle. Book excerpt: Providing readers with a solid basis in dynamical systems theory, as well as explicit procedures for application of general mathematical results to particular problems, the focus here is on efficient numerical implementations of the developed techniques. The book is designed for advanced undergraduates or graduates in applied mathematics, as well as for Ph.D. students and researchers in physics, biology, engineering, and economics who use dynamical systems as model tools in their studies. A moderate mathematical background is assumed, and, whenever possible, only elementary mathematical tools are used. This new edition preserves the structure of the first while updating the context to incorporate recent theoretical developments, in particular new and improved numerical methods for bifurcation analysis.

Download or read book Singularities and Groups in Bifurcation Theory written by Martin Golubitsky and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 551 pages. Available in PDF, EPUB and Kindle. Book excerpt: Bifurcation theory studies how the structure of solutions to equations changes as parameters are varied. The nature of these changes depends both on the number of parameters and on the symmetries of the equations. Volume I discusses how singularity-theoretic techniques aid the understanding of transitions in multiparameter systems. This volume focuses on bifurcation problems with symmetry and shows how group-theoretic techniques aid the understanding of transitions in symmetric systems. Four broad topics are covered: group theory and steady-state bifurcation, equicariant singularity theory, Hopf bifurcation with symmetry, and mode interactions. The opening chapter provides an introduction to these subjects and motivates the study of systems with symmetry. Detailed case studies illustrate how group-theoretic methods can be used to analyze specific problems arising in applications.

Download or read book Complexity in Economics Macroeconomics financial markets and international economics written by John Barkley Rosser and published by . This book was released on 2004 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Mathematical Modeling written by Sandip Banerjee and published by CRC Press. This book was released on 2021-11-11 with total page 419 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Modeling: Models, Analysis and Applications, Second Edition introduces models of both discrete and continuous systems. This book is aimed at newcomers who desires to learn mathematical modeling, especially students taking a first course in the subject. Beginning with the step-by-step guidance of model formulation, this book equips the reader about modeling with difference equations (discrete models), ODE’s, PDE’s, delay and stochastic differential equations (continuous models). This book provides interdisciplinary and integrative overview of mathematical modeling, making it a complete textbook for a wide audience. A unique feature of the book is the breadth of coverage of different examples on mathematical modelling, which include population models, economic models, arms race models, combat models, learning model, alcohol dynamics model, carbon dating, drug distribution models, mechanical oscillation models, epidemic models, tumor models, traffic flow models, crime flow models, spatial models, football team performance model, breathing model, two neuron system model, zombie model and model on love affairs. Common themes such as equilibrium points, stability, phase plane analysis, bifurcations, limit cycles, period doubling and chaos run through several chapters and their interpretations in the context of the model have been highlighted. In chapter 3, a section on estimation of system parameters with real life data for model validation has also been discussed. Features Covers discrete, continuous, spatial, delayed and stochastic models. Over 250 illustrations, 300 examples and exercises with complete solutions. Incorporates MATHEMATICA® and MATLAB®, each chapter contains Mathematica and Matlab codes used to display numerical results (available at CRC website). Separate sections for Projects. Several exercise problems can also be used for projects. Presents real life examples of discrete and continuous scenarios. The book is ideal for an introductory course for undergraduate and graduate students, engineers, applied mathematicians and researchers working in various areas of natural and applied sciences.

Download or read book Hopf Bifurcation Analysis written by Jorge L. Moiola and published by World Scientific. This book was released on 1996 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to the frequency domain approach, for both regular and degenerate Hopf bifurcation analyses. Besides showing that the time and frequency domain approaches are in fact equivalent, the fact that many significant results and computational formulas obtained in the studies of regular and degenerate Hopf bifurcations from the time domain approach can be translated and reformulated into the corresponding frequency domain setting, and be reconfirmed and rediscovered by using the frequency domain methods, is also explained. The description of how the frequency domain approach can be used to obtain several types of standard bifurcation conditions for general nonlinear dynamical systems is given as well as is demonstrated a very rich pictorial gallery of local bifurcation diagrams for nonlinear systems under simultaneous variations of several system parameters. In conjunction with this graphical analysis of local bifurcation diagrams, the defining and nondegeneracy conditions for several degenerate Hopf bifurcations is presented. With a great deal of algebraic computation, some higher-order harmonic balance approximation formulas are derived, for analyzing the dynamical behavior in small neighborhoods of certain types of degenerate Hopf bifurcations that involve multiple limit cycles and multiple limit points of periodic solutions. In addition, applications in chemical, mechanical and electrical engineering as well as in biology are discussed. This book is designed and written in a style of research monographs rather than classroom textbooks, so that the most recent contributions to the field can be included with references.

Download or read book Numerical Methods and Applications written by Todor Boyanov and published by Springer Science & Business Media. This book was released on 2007-02-20 with total page 741 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the thoroughly refereed post-proceedings of the 6th International Conference on Numerical Methods and Applications, NMA 2006, held in Borovets, Bulgaria, in August 2006. The 84 revised full papers presented together with 3 invited papers were carefully reviewed and selected from 111 submissions. The papers are organized in topical sections on numerical methods for hyperbolic problems, robust preconditioning solution methods, Monte Carlo and quasi-Monte Carlo for diverse applications, metaheuristics for optimization problems, uncertain/control systems and reliable numerics, interpolation and quadrature processes, large-scale computations in environmental modelling, and contributed talks.

Download or read book Dynamics and Bifurcation in Networks written by Martin Golubitsky and published by SIAM. This book was released on 2023-04-24 with total page 867 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years, there has been an explosion of interest in network-based modeling in many branches of science. This book synthesizes some of the common features of many such models, providing a general framework analogous to the modern theory of nonlinear dynamical systems. How networks lead to behavior not typical in a general dynamical system and how the architecture and symmetry of the network influence this behavior are the book’s main themes. Dynamics and Bifurcation in Networks: Theory and Applications of Coupled Differential Equations is the first book to describe the formalism for network dynamics developed over the past 20 years. In it, the authors introduce a definition of a network and the associated class of “admissible” ordinary differential equations, in terms of a directed graph whose nodes represent component dynamical systems and whose arrows represent couplings between these systems. They also develop connections between network architecture and the typical dynamics and bifurcations of these equations and discuss applications of this formalism to various areas of science, including gene regulatory networks, animal locomotion, decision-making, homeostasis, binocular rivalry, and visual illusions. This book will be of interest to scientific researchers in any area that uses network models, which includes many parts of biology, physics, chemistry, computer science, electrical and electronic engineering, psychology, and sociology.

Download or read book Bifurcation Theory of Functional Differential Equations written by Shangjiang Guo and published by Springer Science & Business Media. This book was released on 2013-07-30 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a crash course on various methods from the bifurcation theory of Functional Differential Equations (FDEs). FDEs arise very naturally in economics, life sciences and engineering and the study of FDEs has been a major source of inspiration for advancement in nonlinear analysis and infinite dimensional dynamical systems. The book summarizes some practical and general approaches and frameworks for the investigation of bifurcation phenomena of FDEs depending on parameters with chap. This well illustrated book aims to be self contained so the readers will find in this book all relevant materials in bifurcation, dynamical systems with symmetry, functional differential equations, normal forms and center manifold reduction. This material was used in graduate courses on functional differential equations at Hunan University (China) and York University (Canada).

Download or read book Numerical Methods for Bifurcations of Dynamical Equilibria written by Willy J. F. Govaerts and published by SIAM. This book was released on 2000-01-01 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dynamical systems arise in all fields of applied mathematics. The author focuses on the description of numerical methods for the detection, computation, and continuation of equilibria and bifurcation points of equilibria of dynamical systems. This subfield has the particular attraction of having links with the geometric theory of differential equations, numerical analysis, and linear algebra.

Download or read book Quantitative and Empirical Analysis of Nonlinear Dynamic Macromodels written by Carl Chiarella and published by Emerald Group Publishing. This book was released on 2006-05-30 with total page 563 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book represents an ongoing research agenda the aim of which is to contribute to the Keynesian paradigm in macroeconomics. It examines the Dynamic General Equilibrium (DGE) model, the assumption of intertemporal optimizing behavior of economic agents, competitive markets and price mediated market clearing through flexible wages and prices.

Download or read book Nonlinear Dynamics and Heterogeneous Interacting Agents written by Thomas Lux and published by Springer Science & Business Media. This book was released on 2006-06-06 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book The Evolution of Strategic Foresight written by Tuomo Kuosa and published by Routledge. This book was released on 2016-03-16 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: Embracing the theory and practice of strategic foresight and illuminating how different schools of thought regard its role in policy making, Tuomo Kuosa describes how something not traditionally considered an independent discipline, is steadily becoming one. In The Evolution of Strategic Foresight he explains how the practice of strategic foresight has long been closely associated with the military and politics. Linking strategic thinking more broadly to futurology, however, it is quite new. Since strategic foresight refers to the practice of generating analyses of alternative futures and strategies, based on available intelligence and foreknowledge, the practice can and should be applied to companies, business sectors, national and trans-national agencies of all descriptions, and to all aspects of public policy making. The author explains its practice in terms of structure, process, and knowledge domains, and examines its methodologies and systems, along with how strategic foresight can be used to produce better knowledge and be more effectively linked to policy making. Using examples from 30 different countries and with access to interviews and workshops involving key experts, The Evolution of Strategic Foresight will be valuable to scholars, educators, students engaged in strategy and future studies, long-range, public policy and urban planners, analysts; risk assessment experts, and consultants, managers and decision makers in many organisations, public and private.

Download or read book Market Imperfections and Macroeconomic Dynamics written by Jean-Olivier Hairault and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: Market Imperfections and Macroeconomic Dynamics is based upon a collection of papers originally presented at the 5th Theory and Methods in Macroeconomics (T2M) meeting in Paris, France, 2002. The contributions in this volume focus on a central theme: the aggregate dynamic consequences of market imperfections. Such effects are of great interest to researchers in macroeconomics as these imperfections play a primary role in the persistence of aggregate output, the characteristics of the business cycles and the interactions of agents over time. Incorporating up-to-date techniques and methods, these contributions exemplify the remarkable progress made by macroeconomists in tackling these issues. The primary market for Market Imperfections and Macroeconomic Dynamics is academic researchers in economics and graduate students specializing in macroeconomics. Divisions of economic studies in public administration and in financial organizations will also find this book beneficial.

Download or read book Handbook of Mathematics written by Vialar Thierry and published by BoD - Books on Demand. This book was released on 2023-08-22 with total page 1134 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book, revised, consists of XI Parts and 28 Chapters covering all areas of mathematics. It is a tool for students, scientists, engineers, students of many disciplines, teachers, professionals, writers and also for a general reader with an interest in mathematics and in science. It provides a wide range of mathematical concepts, definitions, propositions, theorems, proofs, examples, and numerous illustrations. The difficulty level can vary depending on chapters, and sustained attention will be required for some. The structure and list of Parts are quite classical: I. Foundations of Mathematics, II. Algebra, III. Number Theory, IV. Geometry, V. Analytic Geometry, VI. Topology, VII. Algebraic Topology, VIII. Analysis, IX. Category Theory, X. Probability and Statistics, XI. Applied Mathematics. Appendices provide useful lists of symbols and tables for ready reference. Extensive cross-references allow readers to find related terms, concepts and items (by page number, heading, and objet such as theorem, definition, example, etc.). The publisher’s hope is that this book, slightly revised and in a convenient format, will serve the needs of readers, be it for study, teaching, exploration, work, or research.

Download or read book The Labor Market and Business Cycle Theories written by Piero Ferri and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 197 pages. Available in PDF, EPUB and Kindle. Book excerpt: Interest in business cycles has had its 'ups and downs'. After a period of almost steady state growth and of economic tranquility, when the business cycle seemed to be obsolete, the turbulence of the 70s and 80s has contributedto a renewed interest in the topic. Important analytical and methodological innovations have also favored the present abundance of contributions. Four innovations are of particular importance: i. microfoundations ii. nonlinearities iii. stochastic variables iv. real aspects. Both Classical macroeconomics and new-Keynesian approaches seem to share these characteristics, which apply both to endogenous and exogenous explanations of the cycle. The distance separating the newer literature from its forebears seems vast. Previously, cycle theory was characterized by a macro approach and utilized nonlinearities either through piecewise 'linear models or with the aid of Classical theorems in the field of dynamic systems. To consider and to compare the old and the new literature on business cycles is one of the goals of this book. To narrow the distance separating them is another goal of this research. We do not try to bridge it, but rather to revisit the former tradition with new tools. Finally, a particular emphasis is put on the 'ceilings and floors' type of literature. One of us has written a D. Phil. thesis with Sir John Hicks, and both have worked with H. P. Minsky. Hicks, along with Goodwin, introdu. ced the concept of ceilings and floors into business cycle analysis, and Minsky made important contributions to the area.

Download or read book Topics in Applied Macrodynamic Theory written by Peter Flaschel and published by Springer Science & Business Media. This book was released on 2008-07-03 with total page 523 pages. Available in PDF, EPUB and Kindle. Book excerpt: This insightful book presents topics in applied dynamic macrotheory for closed and open economies. The authors give an advanced treatment of macroeconomic topics such as the Phillips curve, forward and backward looking behavior, open economy macrodynamics, structural macroeconometric model building as well as the empirics of Keynesian oriented macro models. The dynamics of open economies in the context of interacting two country models are treated as well.