On a class of third order mappings with two rational invariants
Abstract
A novel family of integrable third order maps is presented. Each map possesses, by construction, a pair of rational invariants and a commuting map from the same class. The 3-dimensional invariant curve is parametrized, in general, by an elliptic curve.
- Publication:
-
arXiv e-prints
- Pub Date:
- June 2006
- DOI:
- 10.48550/arXiv.nlin/0606056
- arXiv:
- arXiv:nlin/0606056
- Bibcode:
- 2006nlin......6056A
- Keywords:
-
- Nonlinear Sciences - Exactly Solvable and Integrable Systems
- E-Print:
- 9 pages, 6 figures