摘要翻译：
研究了摄动平面多项式哈密顿叶理完整映射的先导项。这个项的不消失意味着相应的哈密顿恒等式循环的不持久性。我们证明了这确实发生在一般扰动和圈上，以及在二次哈密顿叶中是交换子的圈上。我们的方法依赖于陈的迭代路径积分理论，我们简要地恢复。
---
英文标题：
《On the non-persistence of Hamiltonian identity cycles》
---
作者：
Lubomir Gavrilov, Hossein Movasati, Issao Nakai
---
最新提交年份：
2008
---
分类信息：

一级分类：Mathematics        数学
二级分类：Dynamical Systems        动力系统
分类描述：Dynamics of differential equations and flows, mechanics, classical few-body problems, iterations, complex dynamics, delayed differential equations
微分方程和流动的动力学，力学，经典的少体问题，迭代，复杂动力学，延迟微分方程
--
一级分类：Mathematics        数学
二级分类：Algebraic Geometry        代数几何
分类描述：Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology
代数簇，叠，束，格式，模空间，复几何，量子上同调
--

---
英文摘要：
  We study the leading term of the holonomy map of a perturbed plane polynomial Hamiltonian foliation. The non-vanishing of this term implies the non-persistence of the corresponding Hamiltonian identity cycle. We prove that this does happen for generic perturbations and cycles, as well for cycles which are commutators in Hamiltonian foliations of degree two. Our approach relies on the Chen's theory of iterated path integrals which we briefly resume.
---
PDF链接：
https://arxiv.org/pdf/0806.0017