On Incompleteness of Some Integrable Rational Maps

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.

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Bibliographic Details
Published in:arXiv.org 2016-02
Main Authors: Saito, S, Saitoh, N, Hatanaka, T, Wakimoto, Y, Yumibayashi, T
Format: Article
Language:English
Subjects:
Fixed points (mathematics)
Online Access:Get full text
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Description
Summary: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.
ISSN:2331-8422