Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1898272 | Physica D: Nonlinear Phenomena | 2006 | 9 Pages |
Abstract
We propose discrete mappings of second order that have a discrete analogue of Lyapunov function. The mappings are extensions of the integrable Quispel–Roberts–Thompson (QRT) mapping, and a discrete Lyapunov function of the mappings is identical to an explicit conserved quantity of the QRT mapping. Moreover we can obtain a differential and an ultradiscrete limit of the mappings preserving the existence of Lyapunov function. We also give applications of a mapping with an adjusted parameter, a probabilistic mapping and coupled mappings.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Hironori Inoue, Daisuke Takahashi, Junta Matsukidaira,