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    Nonlinear Mapping Convergence and Application to Social Networks

    84262.pdf (311.7Kb)
    Access Status
    Open access
    Authors
    Anderson, B.D.O.
    Ye, Mengbin
    Date
    2018
    Type
    Conference Paper
    
    Metadata
    Show full item record
    Citation
    Anderson, B.D.O. and Ye, M. 2018. Nonlinear Mapping Convergence and Application to Social Networks. In 2018 European Control Conference (ECC),12-15 June 2018, Limassol, Cyprus.
    Source Title
    2018 European Control Conference, ECC 2018
    DOI
    10.23919/ECC.2018.8550197
    ISBN
    9783952426982
    Faculty
    Faculty of Science and Engineering
    School
    School of Elec Eng, Comp and Math Sci (EECMS)
    Funding and Sponsorship
    http://purl.org/au-research/grants/arc/DP160104500
    URI
    http://hdl.handle.net/20.500.11937/84358
    Collection
    • Curtin Research Publications
    Abstract

    This paper discusses nonlinear discrete-time maps of the form x(k+1)=F(x(k)), focussing on equilibrium points of such maps. Under some circumstances, Lefschetz fixed-point theory can be used to establish the existence of a single locally attractive equilibrium (which is sometimes globally attractive) when a general property of local attractivity is known for any equilibrium. Problems in social networks often involve such discrete-time systems, and we make an application to one such problem.

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