Bifurcations and Chaos in Piecewise-Smooth Dynamical Systems: Applications to Power Converters, Relay and Pulse-Width Modulated Control Systems, and Human Decision-Making Behavior: Vol 44

Zhanybai T. Zhusubaliyev/ Erik Mosekilde

ISBN 10: 9812384200 / ISBN 13: 9789812384201

Published by World Scientific Pub Co Inc, 2003

About this Item

370 pages. 9.50x6.50x1.00 inches. In Stock.

Seller Inventory # __9812384200

Bibliographic Details

• Title: Bifurcations and Chaos in Piecewise-Smooth Dynamical Systems: Applications to Power Converters, Relay and Pulse-Width Modulated Control Systems, and Human Decision-Making Behavior: Vol 44
• Publisher: World Scientific Pub Co Inc
• Publication Date: 2003
• Language: English
• ISBN 10: 9812384200
• ISBN 13: 9789812384201
• Binding: Hardcover
• Condition: Brand New

About this title

Synopsis

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.

Review

.,." contains interesting examples of piecewise-smooth dynamical systems ... a useful tool for many scientists and engineers.?