Bifurcations and Chaos in Piecewise-Smooth Dynamical Systems...

Description

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.
($119.00)

Disclaimer:
Contents of this page are indexed from the Internet. All actions are under your responsability. Email us to report illegal contents or external links and we'll remove them immediately.

Please check the description for download links if any or do a search to find alternative books.

Can't Download?
Please search mirrors if you can't find download links for "Bifurcations and Chaos in Piecewise-Smooth Dynamical Systems..." in "Description" and someone else may update the links. Check the comments when back to find any updates.

Search Mirrors
Maybe some mirror pages will be helpful, search this book at top of this page or click here to find more info.

1. Ebooks list page : 3284
2. Piecewise-smooth Dynamical Systems: Theory and Applications
3. Discrete Dynamical Systems, Bifurcations and Chaos in Economics, Volume 204
4. Dynamical Systems I: Ordinary Differential Equations and Smooth Dynamical Systems
5. Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields
6. Smooth Dynamical Systems (Pure and Applied Mathematics)
7. Elliptic Boundary Value Problems of Second Order in Piecewise Smooth Domains
8. Local and Semi-Local Bifurcations in Hamiltonian Dynamical Systems: Results and Examples (Lecture Notes in Mathematics)
9. Chaos in Dynamical Systems
10. Differential Equations, Dynamical Systems, and an Introduction to Chaos
11. Introduction to Applied Nonlinear Dynamical Systems and Chaos
12. Introduction to Applied Nonlinear Dynamical Systems and Chaos, 2nd edition
13. Nonlinear Dynamics Of Piecewise Constant Systems And Implementation Of Piecewise Constant Arguments: Liming Dai
14. Nonlinear Dynamics Of Piecewise Constant Systems And Implementation Of Piecewise Constant Arguments
15. [request_ebook] Solution Manual to \\\"Differential Equations, Dynamical Systems & An Introduction to Chaos (2nd ed)\\\"
16. Numerical Methods for Bifurcations of Dynamical Equilibria: Willy J. F. Govaerts