Detecting discrete integrability: the singularity approach

Detecting discrete integrability: the singularity approach
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检测离散可积性:奇点方法

DOI:
10.1201/9780429470462-3
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发表时间:
2018
期刊:
Nonlinear Systems and Their Remarkable Mathematical Structures
影响因子:
--
通讯作者:
T. Mase
T. Mase
中科院分区:
--
文献类型:
--
作者:
B. Grammaticos;A. Ramani;R. Willox;T. Mase

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我们描述了二阶有理映射可能出现的各种类型的奇点,并讨论了奇点限制属性作为可积检测器所扮演的历史和当前的实际角色。特别是,我们展示了如何使用奇点分析来显式计算此类映射的动态程度。
We describe the various types of singularities that can arise for second order rational mappings and we discuss the historical and present-day, practical, role the singularity confinement property plays as an integrability detector. In particular, we show how singularity analysis can be used to calculate explicitly the dynamical degree for such mappings.
DOI: 10.1098/rspa.2016.0831
发表时间: 2017-05
期刊: Proceedings. Mathematical, physical, and engineering sciences
影响因子: --
作者:
Halburd RG
通讯作者: Halburd RG