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    Synthesizing Chaotic Maps with Prescribed Invariant Densities


    Rogers, Alan and Shorten, Robert N. and Heffernan, Daniel (2004) Synthesizing Chaotic Maps with Prescribed Invariant Densities. Physics Letters A, 330 (6). pp. 435-441.

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    Abstract

    The Inverse Frobenius-Perron problem (IFPP) concerns the creation of discrete chaotic mappings with arbitrary invariant densities. In this note, we present a new and elegant solution to the IFPP, based on positive matrix theory. Our method allows chaotic maps with arbitrary piecewise-constant invariant densities, and with arbitrary mixing properties, to be synthesized.

    Item Type: Article
    Keywords: Chaos; Chaotic Maps; Chaos Control; Inverse Frobenius-Perron Problem;
    Academic Unit: Faculty of Science and Engineering > Computer Science
    Item ID: 216
    Depositing User: Alan Rogers
    Date Deposited: 05 Apr 2005
    Journal or Publication Title: Physics Letters A
    Publisher: Elsevier B.V.
    Refereed: Yes
    URI:

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