Bifurcations and chaos in piecewise-smooth dynamical systems /

"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 la...

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Bibliographic Details
Main Author: Zhusubaliyev, Zhanybai T
Other Authors: Mosekilde, Erik
Format: Book
Language:English
Published: River Edge, N.J. : World Scientific, c2003
River Edge, NJ : c2003
River Edge, New Jersey : [2003], ©2003
River Edge, New Jersey : c2003
Singapore ; River Edge, NJ : c2003
Series:World Scientific series on nonlinear science Monographs and treatises ; v. 44.
World Scientific series on nonlinear science Monographs and treatises ; v. 44.
World Scientific series on nonlinear science Monographs and treatises ; v.44.
World Scientific series on nonlinear science Monographs and treatises. Monographs and treatises. Monographs and treatises ; v.44.
Subjects:
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245 1 0 |a Bifurcations and chaos in piecewise-smooth dynamical systems /  |c Zhanybai T. Zhusubaliyev, Erik Mosekilde 
260 |a River Edge, N.J. :  |b World Scientific,  |c c2003 
260 |a River Edge, NJ :  |b World Scientific,  |c c2003 
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260 |a Singapore ;  |a River Edge, NJ :  |b World Scientific,  |c c2003 
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490 1 |a World Scientific series on Nonlinear science. Series A ;  |v v.44 
490 1 |a World Scientific series on nonlinear science. Series A ;  |v v. 44 
490 1 |a World Scientific series on nonlinear science. Series A, Monographs and treatises ;  |v v. 44 
504 |a Includes bibliographical references and index 
505 0 0 |g 1  |t On the Dynamics of Nonlinear Systems --   |g 2.  |t Basic Concepts and Methods --   |g 3.  |t Relay Control Systems --   |g 4.  |t Bifurcations and Chaotic Oscillations in Relay Systems --   |g 5.  |t Chaotic Oscillations in Pulse-Width Modulated Systems --   |g 6.  |t Border-Collision Bifurcations on a Two-Dimensional Torus --   |g 7.  |t Border-Collision Bifurcations in a Management System. 
505 0 0 |g 1  |t On the Dynamics of Nonlinear Systems --  |g 2.  |t Basic Concepts and Methods --  |g 3.  |t Relay Control Systems --  |g 4.  |t Bifurcations and Chaotic Oscillations in Relay Systems --  |g 5.  |t Chaotic Oscillations in Pulse-Width Modulated Systems --  |g 6.  |t Border-Collision Bifurcations on a Two-Dimensional Torus --  |g 7.  |t Border-Collision Bifurcations in a Management System. 
520 1 |a "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."--BOOK JACKET 
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650 0 |a Chaotic behavior in systems 
650 0 |a Differentiable dynamical systems 
650 0 |a Relay control systems 
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650 7 |a Differentiable dynamical systems  |2 fast 
650 7 |a Relay control systems  |2 fast 
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710 2 |a Mosekilde, Erik 
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