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Can I read Bifurcation Phenomena in Non-smooth Dynamical Systems on EtoBox?
Bifurcation Phenomena in Non-smooth Dynamical Systems by R.I. Leine; D.H. van Campen is a Engineering article available to read on EtoBox.
What is Bifurcation Phenomena in Non-smooth Dynamical Systems about?
The aim of the paper is to give an overview of bifurcation phenomena which are typical for non-smooth dynamical systems. A small number of well-chosen examples of various kinds of non-smooth systems will be presented, followed by a discussion of the bifurcation phenomena in hand and a brief introduction to the mathematical tools which have been developed to study these phenomena. The bifurcations of equilibria in two planar non-smooth continuous systems are analysed by using a generalised Jacobian matrix. A mechanical example of a non-autonomous Filippov system, belonging to the class of differential inclusions, is studied and shows a number of remarkable discontinuous bifurcations of periodic solutions. A generalisation of the Floquet theory is introduced which explains bifurcation phenomena in differential inclusions. Lastly, the dynamics of the Woodpecker Toy is analysed with a one-dimensional Poincaré map method. The dynamics is greatly influenced by simultaneous impacts which cause discontinuous bifurcations.
Who reads Bifurcation Phenomena in Non-smooth Dynamical Systems?
It is typically read by researchers, students, and practitioners in Engineering.
- Author
- R.I. Leine; D.H. van Campen
- Publisher
- Elsevier Science; Elsevier ; Elsevier BV (ISSN 0997-7538)
- Published
- 2006
- Language
- EN
- Field
- Engineering (Physical Sciences)