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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 |
| URI: | https://mural.maynoothuniversity.ie/id/eprint/216 |
| 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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