Nonlinear Dynamics In Equilibrium Models
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Nonlinear Dynamics In Equilibrium Models
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Author : John Stachurski
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-01-25
Nonlinear Dynamics In Equilibrium Models written by John Stachurski and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-01-25 with Business & Economics categories.
Optimal growth theory studies the problem of efficient resource allocation over time, a fundamental concern of economic research. Since the 1970s, the techniques of nonlinear dynamical systems have become a vital tool in optimal growth theory, illuminating dynamics and demonstrating the possibility of endogenous economic fluctuations. Kazuo Nishimura's seminal contributions on business cycles, chaotic equilibria and indeterminacy have been central to this development, transforming our understanding of economic growth, cycles, and the relationship between them. The subjects of Kazuo's analysis remain of fundamental importance to modern economic theory. This book collects his major contributions in a single volume. Kazuo Nishimura has been recognized for his contributions to economic theory on many occasions, being elected fellow of the Econometric Society and serving as an editor of several major journals. Chapter “Introduction” is available open access under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License via link.springer.com.
Methods Of Qualitative Theory In Nonlinear Dynamics
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Author : Leonid P. Shilnikov
language : en
Publisher: World Scientific
Release Date : 1998
Methods Of Qualitative Theory In Nonlinear Dynamics written by Leonid P. Shilnikov and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Science categories.
Bifurcation and Chaos has dominated research in nonlinear dynamics for over two decades and numerous introductory and advanced books have been published on this subject. There remains, however, a dire need for a textbook which provides a pedagogically appealing yet rigorous mathematical bridge between these two disparate levels of exposition. This book is written to serve the above unfulfilled need. Following the footsteps of Poincare, and the renowned Andronov school of nonlinear oscillations, this book focuses on the qualitative study of high-dimensional nonlinear dynamical systems. Many of the qualitative methods and tools presented in this book were developed only recently and have not yet appeared in a textbook form. In keeping with the self-contained nature of this book, all topics are developed with an introductory background and complete mathematical rigor. Generously illustrated and written with a high level of exposition, this book will appeal to both beginners and advanced studentsof nonlinear dynamics interested in learning a rigorous mathematical foundation of this fascinating subject.
Nonlinear Dynamics In Economics
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Author : Bärbel Finkenstädt
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Nonlinear Dynamics In Economics written by Bärbel Finkenstädt and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Business & Economics categories.
1. 1 Introduction In economics, one often observes time series that exhibit different patterns of qualitative behavior, both regular and irregular, symmetric and asymmetric. There exist two different perspectives to explain this kind of behavior within the framework of a dynamical model. The traditional belief is that the time evolution of the series can be explained by a linear dynamic model that is exogenously disturbed by a stochastic process. In that case, the observed irregular behavior is explained by the influence of external random shocks which do not necessarily have an economic reason. A more recent theory has evolved in economics that attributes the patterns of change in economic time series to an underlying nonlinear structure, which means that fluctua tions can as well be caused endogenously by the influence of market forces, preference relations, or technological progress. One of the main reasons why nonlinear dynamic models are so interesting to economists is that they are able to produce a great variety of possible dynamic outcomes - from regular predictable behavior to the most complex irregular behavior - rich enough to meet the economists' objectives of modeling. The traditional linear models can only capture a limited number of possi ble dynamic phenomena, which are basically convergence to an equilibrium point, steady oscillations, and unbounded divergence. In any case, for a lin ear system one can write down exactly the solutions to a set of differential or difference equations and classify them.
Price Dynamics In Equilibrium Models
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Author : Jan Tuinstra
language : en
Publisher: Springer Science & Business Media
Release Date : 2001
Price Dynamics In Equilibrium Models written by Jan Tuinstra and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Business & Economics categories.
This text considers a number of adjustment processes in different economic models and investigates their dynamical behaviour in order to approach the question of how economic equilibria are attained. The theory of non linear dynamics is used to analyze the dynamics of the different economic models.
New Trends In Nonlinear Dynamics
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Author : Walter Lacarbonara
language : en
Publisher: Springer Nature
Release Date : 2020-01-27
New Trends In Nonlinear Dynamics written by Walter Lacarbonara and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-01-27 with Science categories.
This third of three volumes from the inaugural NODYCON, held at the University of Rome, in February of 2019, presents papers devoted to New Trends in Nonlinear Dynamics. The collection features both well-established streams of research as well as novel areas and emerging fields of investigation. Topics in Volume III include NEMS/MEMS and nanomaterials: multi-sensors, actuators exploiting nonlinear working principles; adaptive, multifunctional, and meta material structures; nanocomposite structures (e.g., carbon nanotube/polymer composites, composites with functionalized nanoparticles); 0D,1D,2D,3D nanostructures; biomechanics applications, DNA modeling, walking dynamics, heart dynamics, neurodynamics, capsule robots, jellyfish-like robots, nanorobots; cryptography based on chaotic maps; ecosystem dynamics, social media dynamics (user behavior dynamics in multi-messages social hotspots, prediction models), financial engineering, complexity in engineering; and network dynamics (multi-agent systems, leader-follower dynamics, swarm dynamics, biological networks dynamics).
Nonlinear Dynamics And Chaos
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Author : Steven H. Strogatz
language : en
Publisher: CRC Press
Release Date : 2018-05-04
Nonlinear Dynamics And Chaos written by Steven H. Strogatz and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-05-04 with Mathematics categories.
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.
Introduction To Nonlinear Dynamics For Physicists
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Author : Henry D I Abarbanel
language : en
Publisher: World Scientific
Release Date : 1993-06-23
Introduction To Nonlinear Dynamics For Physicists written by Henry D I Abarbanel and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-06-23 with Science categories.
This series of lectures aims to address three main questions that anyone interested in the study of nonlinear dynamics should ask and ponder over. What is nonlinear dynamics and how does it differ from linear dynamics which permeates all familiar textbooks? Why should the physicist study nonlinear systems and leave the comfortable territory of linearity? How can one progress in the study of nonlinear systems both in the analysis of these systems and in learning about new systems from observing their experimental behavior? While it is impossible to answer these questions in the finest detail, this series of lectures nonetheless successfully points the way for the interested reader. Other useful problems have also been incorporated as a study guide. By presenting both substantial qualitative information about phenomena in nonlinear systems and at the same time sufficient quantitative material, the author hopes that readers would learn how to progress on their own in the study of such similar material hereon.
Nonlinear Dynamics Of Structures
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Author : Sergio Oller
language : en
Publisher: Springer
Release Date : 2014-07-03
Nonlinear Dynamics Of Structures written by Sergio Oller and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-07-03 with Technology & Engineering categories.
This book lays the foundation of knowledge that will allow a better understanding of nonlinear phenomena that occur in structural dynamics. This work is intended for graduate engineering students who want to expand their knowledge on the dynamic behavior of structures, specifically in the nonlinear field, by presenting the basis of dynamic balance in non‐linear behavior structures due to the material and kinematics mechanical effects. Particularly, this publication shows the solution of the equation of dynamic equilibrium for structure with nonlinear time‐independent materials (plasticity, damage and frequencies evolution), as well as those time dependent non‐linear behavior materials (viscoelasticity and viscoplasticity). The convergence conditions for the non‐linear dynamic structure solution are studied and the theoretical concepts and its programming algorithms are presented.
Nonlinear Systems
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Author :
language : en
Publisher: BoD – Books on Demand
Release Date : 2018-07-18
Nonlinear Systems written by and has been published by BoD – Books on Demand this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-07-18 with Mathematics categories.
This book focuses on several key aspects of nonlinear systems including dynamic modeling, state estimation, and stability analysis. It is intended to provide a wide range of readers in applied mathematics and various engineering disciplines an excellent survey of recent studies of nonlinear systems. With its thirteen chapters, the book brings together important contributions from renowned international researchers to provide an excellent survey of recent studies of nonlinear systems. The first section consists of eight chapters that focus on nonlinear dynamic modeling and analysis techniques, while the next section is composed of five chapters that center on state estimation methods and stability analysis for nonlinear systems.
Cycles And Chaos In Economic Equilibrium
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Author : Jess Benhabib
language : en
Publisher: Princeton University Press
Release Date : 1992-03-23
Cycles And Chaos In Economic Equilibrium written by Jess Benhabib and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-03-23 with Business & Economics categories.
In recent years economists have begun to use the techniques of non-linear dynamics to show that some apparently erratic and turbulent economic phenomena reflect subtle underlying patterns. How do cyclic and chaotic dynamics arise in economic models of equilibrium? How can empirical methods be used to detect nonlinearities and cyclic and chaotic structures in economic models? In examining these questions, this book brings together the most significant work that has been done to date in economics-based chaos theory. Selected here particularly for the economist who is not a specialist in chaos theory, the essays, some previously unpublished and others not widely available, describe a new tool for understanding business cycles, stabilization policy, and forecasting. The contributors to the volume are William J. Baumol, Jess Benhabib, Michele Boldrin, William A. Brock, Richard H. Day, Raymond J. Deneckere, Allan Drazen, Jean-Michel Grandmont, Kenneth L. Judd, Bruno Jullien, Guy Laroque, Blake LeBaron, Bruce McNevin, Luigi Montrucchio, Salih Nefti, Kazuo Nishimura, James B. Ramsey, Pietro Reichlin, Philip Rothman, Chera L. Sayers, Jos A. Scheinkman, Wayne Shafer, William Whitesell, Edward N. Wolff, and Michael Woodford.