Edge Dynamics and Switching Complexity

Albert C. J. Luo ()
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Albert C. J. Luo: Southern Illinois University Edwardsville, Department of Mechanical and Industrial Engineering

Chapter Chapter 8 in Discontinuous Dynamical Systems, 2012, pp 521-622 from Springer

Abstract: Abstract In this chapter, the switchability and attractivity of edge flows to the lower-dimensional edges will be discussed with a generation of the theory of switchability and attractivity for domain and boundary flows. The basic properties of edge flows to a specific edge will be discussed first. The coming, leaving and tangency of an edge flow to a specific edge will be presented through the separation boundaries. The switchability and passability of an edge flow from an accessible edge to another accessible edge (or boundary or domain) will be discussed with a switching rule. Similarly, the equi-measuring edge for edge flows will be introduced, and the attractivity of an edge flow to the lower-dimensional edge will be presented. Finally, a bouncing edge flow to a specific lower-dimensional edge will be discussed as well. The switchability of a flow in a 2-DOF frictional oscillator will be discussed as a sample problem to illustrate edge dynamics.

Keywords: Switching Rule; Edge Flow; Boundary Index; High Order Singularity; Edge Dynamics (search for similar items in EconPapers)
Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-22461-4_8

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DOI: 10.1007/978-3-642-22461-4_8

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