On Incompleteness of Some Integrable Rational Maps
Dynamical Systems
2016-02-29 v1 Mathematical Physics
Category Theory
Logic
math.MP
Chaotic Dynamics
Exactly Solvable and Integrable Systems
Abstract
An argument is given to associate integrable nonintegrable transition of discrete maps with the transition of Lawvere's fixed point theorem to its own contrapositive. We show that the classical description of nonlinear maps is neither complete nor totally predictable.
Keywords
Cite
@article{arxiv.1602.08345,
title = {On Incompleteness of Some Integrable Rational Maps},
author = {S. Saito and N. Saitoh and T. Hatanaka and Y. Wakimoto and T. Yumibayashi},
journal= {arXiv preprint arXiv:1602.08345},
year = {2016}
}
Comments
13 pages, 7 figures