| 两类迭代保次的平面多项式映射 |
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| 引用本文： | 石勇国,陈兴武.两类迭代保次的平面多项式映射[J].四川大学学报(自然科学版),2007,44(5):966-968. |
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| 作者姓名： | 石勇国 陈兴武 |
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| 作者单位： | 1. 内江师范学院数学系,内江,641112;四川大学数学学院,成都,610064
2. 四川大学数学学院,成都,610064 |
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| 基金项目： | 致谢衷心地感谢张伟年教授的悉心指导和帮助! |
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| 摘 要： | 研究了两类平面多项式映射的迭代，讨论了它们在迭代运算下次数不增的条件.对其中一类映射给出了一个充要条件，对另一类映射给出了一个充分条件
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| 关 键 词： | 迭代 迭代保次 耦合映射 |
| 文章编号： | 0490-6756（2007）05-0966-03 |
| 修稿时间： | 2005-05-23 |
Two classes of planar iteratively degree-preserving polynomial maps |
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| SHI Yong-guo and CHEN Xing-wu.Two classes of planar iteratively degree-preserving polynomial maps[J].Journal of Sichuan University (Natural Science Edition),2007,44(5):966-968. |
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| Authors: | SHI Yong-guo and CHEN Xing-wu |
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| Institution: | Department of Mathematics,Neijiang Teachers College;School of Mathematics,Sichuan University,School of Mathematics,Sichuan University |
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| Abstract: | Two classes of planar polynomial maps satisfying that the arbitrary iterates do not increase their degree are studied.A necessary and sufficient condition and a sufficient condition are respectively given for these two classes. |
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| Keywords: | iterate iteratively degree-preserving coupled map |
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