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Rogers, Alan, Shorten, Robert N. and Heffernan, Daniel (2008) A novel matrix approach for controlling the invariant densities of chaotic maps. Chaos, Solitons & Fractals, 35 (1). pp. 161-175.
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Abstract
Recent work on positive matrices has resulted in a new matrix method for generating chaotic maps with arbitrary
piecewise constant invariant densities, sometimes known as the inverse Frobenius–Perron problem (IFPP). In this
paper, we give an extensive introduction to the IFPP, describing existing methods for solving it, and we describe our new matrix approach for solving the IFPP.
| Item Type: | Article |
|---|---|
| Keywords: | novel matrix; invariant densities; chaotic maps; |
| Academic Unit: | Faculty of Science and Engineering > Mathematical Physics |
| Item ID: | 9697 |
| Depositing User: | Prof. Daniel Heffernan |
| Date Deposited: | 20 Jul 2018 07:46 |
| Journal or Publication Title: | Chaos, Solitons & Fractals |
| Publisher: | Elsevier |
| Refereed: | Yes |
| URI: | https://mu.eprints-hosting.org/id/eprint/9697 |
| 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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