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Bifurcations and Chaos in Piecewise-Smooth Dynamical Systems: Applications to Power Converters, Relay and Pulse-Width Modulated Control Systems, and Human ... Series on Nonlinear Science, Series a) [Hardcover]

By Zhanybai T. Zhusubaliyev (Author) & Erik Mosekilde (Author)
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Item description for Bifurcations and Chaos in Piecewise-Smooth Dynamical Systems: Applications to Power Converters, Relay and Pulse-Width Modulated Control Systems, and Human ... Series on Nonlinear Science, Series a) by Zhanybai T. Zhusubaliyev & Erik Mosekilde...

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 stickslip 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.



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Item Specifications...


Studio: World Scientific Publishing Company
Pages   370
Est. Packaging Dimensions:   Length: 9" Width: 6.1" Height: 1.1"
Weight:   1.45 lbs.
Binding  Hardcover
Publisher   World Scientific Publishing Company
ISBN  9812384200  
ISBN13  9789812384201  


Availability  0 units.


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1Books > Subjects > Professional & Technical > Engineering > Electrical & Electronics > Electricity Principles
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9Books > Subjects > Science > Mathematics > Chaos & Systems
10Books > Subjects > Science > Mathematics > General
11Books > Subjects > Science > Physics > Dynamics > General
12Books > Subjects > Science > Physics > Dynamics



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