2012年9月
On the explicit integration of a class of linearizable mappings
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
- ,
- ,
- 巻
- 45
- 号
- 36
- 開始ページ
- 365202
- 終了ページ
- 365202
- 記述言語
- 英語
- 掲載種別
- 研究論文(学術雑誌)
- DOI
- 10.1088/1751-8113/45/36/365202
- 出版者・発行元
- IOP PUBLISHING LTD
We examine a class of second-order mappings which can be integrated by reduction to a linear equation. These mappings have been identified in our previous works where we have precisely shown how to obtain their linearization. The mappings belonging to this class are referred to as 'linearizable mappings of the third kind'. We construct their explicit solution and obtain, for all of them, an invariant of QRT aspect but which is non-autonomous. We show that some of these 'third-kind' mappings are related to another class of linearizable mappings, known as mappings of Gambier type, from which they are obtained through a (discrete) derivative with respect to a parameter.
- リンク情報
- ID情報
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- DOI : 10.1088/1751-8113/45/36/365202
- ISSN : 1751-8113
- Web of Science ID : WOS:000308800500004