IDEAS home Printed from https://ideas.repec.org/h/spr/sprchp/978-3-642-22461-4_3.html
   My bibliography  Save this book chapter

Singularity and Flow Passability

In: Discontinuous Dynamical Systems

Author

Listed:
  • Albert C. J. Luo

    (Southern Illinois University Edwardsville, Department of Mechanical and Industrial Engineering)

Abstract

In this chapter, a general theory for the passability of a flow to a specific boundary in discontinuous dynamical systems will be presented. The concepts of real and imaginary flows will be introduced. The G-functions for discontinuous dynamical systems will be developed to describe the general theory of the passability of a flow to the boundary. Based on the G-function, the passability of a flow from a domain to an adjacent one will be discussed. With the concepts of real and imaginary flows, the full and half sink and source flows to the boundary will be discussed in detail. A flow to the boundary in a discontinuous dynamical system can be passable or non-passable. Thus, all the switching bifurcations between the passable and non-passable flows will be presented. To understand the concept of flow passability, a discontinuous dynamical system with a parabolic boundary is presented as an example.

Suggested Citation

  • Albert C. J. Luo, 2012. "Singularity and Flow Passability," Springer Books, in: Discontinuous Dynamical Systems, chapter 0, pages 77-164, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-22461-4_3
    DOI: 10.1007/978-3-642-22461-4_3
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a
    for a similarly titled item that would be available.

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:sprchp:978-3-642-22461-4_3. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.