Bifurcations and Chaos in Piecewise-smooth Dynamical Systems

Bifurcations and Chaos in Piecewise-smooth Dynamical Systems

eBook - 2003
Rate this:
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.
Publisher: River Edge, N.J. : World Scientific, c2003.
ISBN: 9812384200
Branch Call Number: ELECTRONIC BOOK
Characteristics: 1 online resource (xii, 363 p.) : ill.
Additional Contributors: Mosekilde, Erik
ebrary, Inc
Call Number: ELECTRONIC BOOK

Opinion

From the critics


Community Activity

Comment

Add a Comment

There are no comments for this title yet.

Age

Add Age Suitability

There are no ages for this title yet.

Summary

Add a Summary

There are no summaries for this title yet.

Notices

Add Notices

There are no notices for this title yet.

Quotes

Add a Quote

There are no quotes for this title yet.

Explore Further

Subject Headings

  Loading...

Find it at KCLibrary

  Loading...
[]
[]
To Top