高阶庞加莱-庞特里亚金函数与迭代路径积分
动力系统
2007-05-23 v2
摘要
我们证明，与扰动多项式叶状结构 相关联的高阶庞加莱-庞特里亚金函数满足一个富克斯型微分方程。
引用
@article{arxiv.math/0403284,
title = {Higher order Poincare-Pontryagin functions and iterated path integrals},
author = {Lubomir Gavrilov},
journal= {arXiv preprint arXiv:math/0403284},
year = {2007}
}
备注
This is a revised version containing the following changes: reference [18] is added, some notations are changed, the proof of Theorem 1 is corrected, Theorem B1 and B2 are replaced now by Theorem B, some signs are corrected in the Appendix. The paper will appear in "Annales de la Faculte des Sciences de Toulouse", 2005