Published October 21, 2011 | Version v1
Journal article Metadata-only

Linearizable QRT mappings

Creators

  • 1. Centre de Physique Theorique, Ecole Polytechnique, CNRS, 91128 Palaiseau (France)
  • 2. IMNC, Universite Paris VII and XI, CNRS, UMR 8165, Bat. 440, 91406 Orsay (France)
  • 3. Department of Physics and Mathematics, Aoyama Gakuin University, 5-10-1 Fuchinobe, Chuo-ku, Sagamihara-shi 252-5258 (Japan)

Description

We derive the members of the QRT family of mappings which are integrable through linearization. We show how these mappings can be integrated and link them to known families of linearizable mappings. We study their growth properties and comment on the relation of the latter to the singularity structure of the mappings. The case of integrable linearizable mappings involving free functions of the independent variable is also discussed. (paper)

Availability note (English)

Available from http://dx.doi.org/10.1088/1751-8113/44/42/425201

Additional details

Identifiers

DOI
10.1088/1751-8113/44/42/425201;

Publishing Information

Journal Title
Journal of Physics. A, Mathematical and Theoretical (Online)
Journal Volume
44
Journal Issue
42
Journal Page Range
[18 p.]
ISSN
1751-8121

INIS

Country of Publication
United Kingdom
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
43067215
Subject category
S97: MATHEMATICAL METHODS AND COMPUTING;
Descriptors DEI
FUNCTIONS; INTEGRAL CALCULUS; MAPPING; MATHEMATICAL LOGIC; SINGULARITY
Descriptors DEC
MATHEMATICS