• Login / Register
    View Item 
    •   Home
    • Faculty of Science and Engineering
    • Mathematics
    • Mathematics
    • View Item
    •   Home
    • Faculty of Science and Engineering
    • Mathematics
    • Mathematics
    • View Item
    JavaScript is disabled for your browser. Some features of this site may not work without it.

    Browse

    All of ChesterRepCommunitiesTitleAuthorsPublication DateSubmit DateSubjectsPublisherJournalThis CollectionTitleAuthorsPublication DateSubmit DateSubjectsPublisherJournalProfilesView

    My Account

    LoginRegister

    About

    AboutUniversity of Chester

    Statistics

    Display statistics

    Noise-induced changes to the behaviour of semi-implicit Euler methods for stochastic delay differential equations undergoing bifurcation

    • CSV
    • RefMan
    • EndNote
    • BibTex
    • RefWorks
    Thumbnail
    Name:
    Publisher version
    View Source
    Access full-text PDFOpen Access
    View Source
    Check access options
    Check access options
    Authors
    Ford, Neville J.
    Norton, Stewart J.
    Affiliation
    University of Chester
    Publication Date
    2009-07-15
    
    Metadata
    Show full item record
    Abstract
    This article discusses estimating parameter values at which bifurcations occur in stochastic delay differential equations. After a brief review of bifurcation, we employ a numerical approach and consider how bifurcation values are influenced by the choice of numerical scheme and the step length and by the level of white noise present in the equation. In this paper we provide a formulaic relationship between the estimated bifurcation value, the level of noise, the choice of numerical scheme and the step length. We are able to show that in the presence of noise there may be some loss of order in the accuracy of the approximation to the true bifurcation value compared to the use of the same approach in the absence of noise.
    Citation
    Journal of Computational and Applied Mathematics, 2009, 229(2), pp. 462-470
    Publisher
    Elsevier
    Journal
    Journal of Computational and Applied Mathematics
    URI
    http://hdl.handle.net/10034/72833
    DOI
    10.1016/j.cam.2008.04.017
    Additional Links
    http://www.sciencedirect.com/science/journal/03770427
    Type
    Article
    Language
    en
    Description
    This article is not available through ChesterRep.
    ISSN
    0377-0427
    ae974a485f413a2113503eed53cd6c53
    10.1016/j.cam.2008.04.017
    Scopus Count
    Collections
    Mathematics

    entitlement

     
    DSpace software (copyright © 2002 - 2021)  DuraSpace
    Quick Guide | Contact Us
    Open Repository is a service operated by 
    Atmire NV
     

    Export search results

    The export option will allow you to export the current search results of the entered query to a file. Different formats are available for download. To export the items, click on the button corresponding with the preferred download format.

    By default, clicking on the export buttons will result in a download of the allowed maximum amount of items.

    To select a subset of the search results, click "Selective Export" button and make a selection of the items you want to export. The amount of items that can be exported at once is similarly restricted as the full export.

    After making a selection, click one of the export format buttons. The amount of items that will be exported is indicated in the bubble next to export format.