Bifurcations and Chaos in Piecewise-Smooth Dynamical Systems: Applications to Power Converters, Relay and Pulse-Width Modulated Control Systemsnd Human Decision-Making Behavior, Vol. 44
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Overview
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.
Synopsis
Zhusubaliyev (Kursk State Technical U., Russia) and Mosekilde (Technical U. of Denmark) describe a number of recently discovered phenomena related to nonlinear dynamical systems whose behavior is controlled by piecewise-smooth differential equations. They focus on analyzing bifurcations and chaotic oscillations in switching power converters and in relay and pulse-width modulated control systems, but also present examples of applications in other areas of mechanical engineering, digital electronics, and economic business cycles theory. Though the emphasis is on engineering problems, the theoretical and numerical problems addressed may interest nonlinear scientists in general. Annotation ©2004 Book News, Inc., Portland, OR