Dynamics and Singularity of Boundary Flows

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

Chapter Chapter 7 in Discontinuous Dynamical Systems, 2012, pp 447-520 from Springer

Abstract: Abstract In this chapter, the switchability and attractivity of boundary flows to (n − 2) - dimensional edges will be discussed in order to understand edge and vertex dynamics in discontinuous dynamical systems. The basic properties of boundary flows to edges will be discussed first. The coming, leaving and tangency of a boundary flow to an (n − 2) -dimensional edge will be presented. The switchability and passability of a boundary flow from an accessible boundary to another accessible boundary will be presented with a switching rule. In addition, the switchability and passability of boundary flows and domain flows will be discussed with a switching rule. The equi-measuring edge for boundary flows will be introduced, and the attractivity of a boundary flow to the (n − 2) -dimensional edge will be presented. Finally, the bouncing characteristics of a boundary flow to the (n − 2) -dimensional edge will be discussed.

Keywords: Black Curve; Domain Flow; Boundary Flow; Thick Curve; Switching Rule (search for similar items in EconPapers)
Date: 2012
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-22461-4_7

Ordering information: This item can be ordered from
http://www.springer.com/9783642224614

DOI: 10.1007/978-3-642-22461-4_7

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().