Published September 19, 2011
| Version v1
Journal article
Two-dimensional solvable chaos
Creators
- 1. Department of Physics, School of Science, Kitasato University, 1-15-1, Kitasato, Minami-ku, Sagamihara, Kanagawa, 252-0373 (Japan)
- 2. Institute of Computational Fluid Dynamics, 1-16-5, Haramachi, Meguro-ku, Tokyo, 152-0011 (Japan)
Description
Two methods are proposed to construct two-dimensional chaotic maps. Several examples of exactly solvable chaotic maps and their invariant measures are obtained. They are isomorphic maps of square to square, plane to plane and circle to circle having various symmetry such as uniform, rotational and the quartic rotational symmetry. -- Highlights: → Inverse problem finding chaotic maps with given invariant measure is proposed and discussed. → Several new examples of two-dimensional solvable chaos are given. → These maps can be used as random number generators.
Availability note (English)
Available from http://dx.doi.org/10.1016/j.physleta.2011.08.013Additional details
Identifiers
- DOI
- 10.1016/j.physleta.2011.08.013;
- PII
- S0375-9601(11)00973-X;
Publishing Information
- Journal Title
- Physics Letters. A
- Journal Volume
- 375
- Journal Issue
- 40
- Journal Page Range
- p. 3512-3516
- ISSN
- 0375-9601
- CODEN
- PYLAAG
INIS
- Country of Publication
- Netherlands
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 45056149
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- CHAOS THEORY; COMPUTER CODES; EXACT SOLUTIONS; MAPS; RANDOMNESS; SYMMETRY; TWO-DIMENSIONAL CALCULATIONS
- Descriptors DEC
- MATHEMATICAL SOLUTIONS; MATHEMATICS
Optional Information
- Copyright
- Copyright (c) 2011 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.