On a class of third order mappings with two rational invariants

Details On a class of third order mappings with two rational invariants On a class of third order mappings with two rational invariants

2006-06-23

arxiv.org/abs/nlin/0606056v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

9 pages, 6 figures

Scientific paper

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.

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