Published October 4, 2004
| Version v1
Journal article
Synthesizing chaotic maps with prescribed invariant densities
- 1. Department of Electronic Engineering, NUI Maynooth, Co. Kildare (Ireland)
- 2. Hamilton Institute, NUI Maynooth, Co. Kildare (Ireland)
- 3. Department of Mathematical Physics, NUI Maynooth, Co. Kildare (Ireland)
Description
The Inverse Frobenius-Perron Problem (IFPP) concerns the creation of discrete chaotic mappings with arbitrary invariant densities. In this Letter, 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
Additional details
Identifiers
- DOI
- 10.1016/j.physleta.2004.08.022;
- PII
- S0375-9601(04)01147-8;
Publishing Information
- Journal Title
- Physics Letters. A
- Journal Volume
- 330
- Journal Issue
- 6
- Journal Page Range
- p. 435-441
- ISSN
- 0375-9601
- CODEN
- PYLAAG
INIS
- Country of Publication
- Netherlands
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 36054753
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- CHAOS THEORY; CONTROL; DENSITY; MAPPING; MAPS; MATHEMATICAL SOLUTIONS; MIXING
- Descriptors DEC
- MATHEMATICS; PHYSICAL PROPERTIES
Optional Information
- Copyright
- Copyright (c) 2004 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.