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    Synthesizing Chaotic Maps with Prescribed Invariant Densities


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    Rogers, Alan, 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
    Use Licence: This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here

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