Synthesizing Chaotic Maps with Prescribed Invariant Densities
Rogers, Alan and Shorten, Robert and Heffernan, Daniel M. (2004) Synthesizing Chaotic Maps with Prescribed Invariant Densities. Physics Letters A, 330 (6). pp. 435-441. AbstractThe 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. | Keywords: | Chaos; Chaotic Maps; Chaos Control; Inverse Frobenius-Perron
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| Subjects: | Science & Engineering > Computer Science |
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| ID Code: | 216 |
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| Deposited By: | Alan Rogers |
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| Deposited On: | 05 Apr 2005 |
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| Journal or Publication Title: | Physics Letters A |
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| Publisher: | Elsevier B.V. |
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| Refereed: | Yes |
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