Synthesizing Chaotic Maps with Prescribed Invariant Densities

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

[img] Download (304kB)

Share your research

Twitter Facebook LinkedIn GooglePlus Email more...

Add this article to your Mendeley library


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

    Repository Staff Only(login required)

    View Item Item control page

    Document Downloads

    More statistics for this item...