Display Abstract

Title Constructing two dimensional integrable mappings which possess invariants of high degree

Name Junta Matsukidaira
Country Japan
Email junta@rins.ryukoku.ac.jp
Co-Author(s) Hironori Tanaka, Atsushi Nobe, Teruhisa Tsuda
Submit Time 2010-01-20 20:22:28
Session
Special Session 66: Discrete Integrable Systems
Contents
We propose a method for constructing two-dimensional integrable mappings that possess invariants with degree higher than two. Such integrable mappings are obtained by making a composition of a QRT mapping and a mapping that preserves the invariant curve of the QRT mapping except for changing the integration constant involved. We show several concrete examples whose integration constants change with period 2 and 3.