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    Using approximations to Lyapunov exponents to predict changes in dynamical behaviour in numerical solutions to stochastic delay differential equations

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    Authors
    Ford, Neville J.
    Norton, Stewart J.
    Affiliation
    University of Chester
    Publication Date
    2006-10-30
    
    Metadata
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    Abstract
    This book chapter explores the parameter values at which there are changes in qualitative behaviour of the numerical solutions to parameter-dependent linear stochastic delay differential equations with multiplicative noise. A possible tool in this analysis is the calculation of the approximate local Lyapunov exponents. We show that estimates for the maximal local Lyapunov exponent have predictable distributions dependent upon the parameter values and the fixed step length of the numerical method, and that changes in the qualitative behaviour of the solutions occur at parameter values that depend on the step length.
    Citation
    In A. Iske & J. Levesley (Eds.), Algorithms for Approximation, V (pp. 309-318). Berlin: Springer, 2007.
    Publisher
    Springer
    URI
    http://hdl.handle.net/10034/72779
    DOI
    10.1007/978-3-540-46551-5_24
    Additional Links
    http://www.springerlink.com
    Type
    Book chapter
    Language
    en
    Description
    This book chapter is not available through ChesterRep.
    ISSN
    9783540332831
    9783540465515
    ae974a485f413a2113503eed53cd6c53
    10.1007/978-3-540-46551-5_24
    Scopus Count
    Collections
    Mathematics

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