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Uncertainty, Stability, Cycles, and Chaos

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Release : 1981
Genre : Business cycles
Kind : eBook
Book Rating : 809/5 ( reviews)

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Book Synopsis Uncertainty, Stability, Cycles, and Chaos by : Matti Pohjola

Download or read book Uncertainty, Stability, Cycles, and Chaos written by Matti Pohjola. This book was released on 1981. Available in PDF, EPUB and Kindle. Book excerpt:

Transient Chaos

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Release : 2011-02-26
Genre : Mathematics
Kind : eBook
Book Rating : 87X/5 ( reviews)

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Book Synopsis Transient Chaos by : Ying-Cheng Lai

Download or read book Transient Chaos written by Ying-Cheng Lai. This book was released on 2011-02-26. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this Book is to give an overview, based on the results of nearly three decades of intensive research, of transient chaos. One belief that motivates us to write this book is that, transient chaos may not have been appreciated even within the nonlinear-science community, let alone other scientific disciplines.

Chaos in Ecology

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Author :
Release : 2003
Genre : Mathematics
Kind : eBook
Book Rating : 760/5 ( reviews)

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Book Synopsis Chaos in Ecology by : J. M. Cushing

Download or read book Chaos in Ecology written by J. M. Cushing. This book was released on 2003. Available in PDF, EPUB and Kindle. Book excerpt: Chaos in Ecology is a convincing demonstration of chaos in a biological population. The book synthesizes an ecologically focused interdisciplinary blend of non-linear dynamics theory, statistics, and experimentation yielding results of uncommon clarity and rigor. Topics include fundamental issues that are of general and widespread importance to population biology and ecology. Detailed descriptions are included of the mathematical, statistical, and experimental steps they used to explore nonlinear dynamics in ecology. Beginning with a brief overview of chaos theory and its implications for ecology. The book continues by deriving and rigorously testing a mathematical model that is closely wedded to biological mechanisms of their research organism. Therefrom were generated a variety of predictions that are fundamental to chaos theory and experiments were designed and analyzed to test those predictions. Discussion of patterns in chaos and how they can be investigated using real data follows and book ends with a discussion of the salient lessons learned from this research program Book jacket.

Bifurcations and Chaos in Piecewise-smooth Dynamical Systems

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Release : 2003
Genre : Mathematics
Kind : eBook
Book Rating : 200/5 ( reviews)

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Book Synopsis Bifurcations and Chaos in Piecewise-smooth Dynamical Systems by : Zhanybai T. Zhusubaliyev

Download or read book Bifurcations and Chaos in Piecewise-smooth Dynamical Systems written by Zhanybai T. Zhusubaliyev. This book was released on 2003. Available in PDF, EPUB and Kindle. Book excerpt: Technical problems often lead to differential equations with piecewise-smooth right-hand sides. Problems in mechanical engineering, for instance, violate the requirements of smoothness if they involve collisions, finite clearances, or stick-slip phenomena. Systems of this type can display a large variety of complicated bifurcation scenarios that still lack a detailed description.This book presents some of the fascinating new phenomena that one can observe in piecewise-smooth dynamical systems. The practical significance of these phenomena is demonstrated through a series of well-documented and realistic applications to switching power converters, relay systems, and different types of pulse-width modulated control systems. Other examples are derived from mechanical engineering, digital electronics, and economic business-cycle theory.The topics considered in the book include abrupt transitions associated with modified period-doubling, saddle-node and Hopf bifurcations, the interplay between classical bifurcations and border-collision bifurcations, truncated bifurcation scenarios, period-tripling and -quadrupling bifurcations, multiple-choice bifurcations, new types of direct transitions to chaos, and torus destruction in nonsmooth systems.In spite of its orientation towards engineering problems, the book addresses theoretical and numerical problems in sufficient detail to be of interest to nonlinear scientists in general.

Cycles and Chaos in Economic Equilibrium

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Release : 2021-02-09
Genre : Business & Economics
Kind : eBook
Book Rating : 214/5 ( reviews)

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Book Synopsis Cycles and Chaos in Economic Equilibrium by : Jess Benhabib

Download or read book Cycles and Chaos in Economic Equilibrium written by Jess Benhabib. This book was released on 2021-02-09. Available in PDF, EPUB and Kindle. Book excerpt: 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.

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