2007/05/31 by Jarmo Hietarinta, Claude Viallet · 2 citations
Physics and Astronomy · #nlin.SI
paper · pdf · doi:10.1088/1751-8113/40/42/s09
published as J. Phys. A: Math. Theor. 40 (2007) 12629 · To appear in Journal of Physics A. Some changes in references
arxiv created 2007/06/08 · arxiv updated 2011/05/27
We analyze the factorization process for lattice maps, searching for integrable cases. The maps were assumed to be at most quadratic in the dependent variables, and we required minimal factorization (one linear factor) after 2 steps of iteration. The results were then classified using algebraic entropy. Some new models with polynomial growth (strongly associated with integrability) were found. One of them is a nonsymmetric generalization of the homogeneous quadratic maps associated with KdV (modified and Schwarzian), for this new model we have also verified the "consistency around a cube".