张量场的同调方程与周期平均
Homological Equation for Tensor Field and Periodic Averaging
摘要：
研究了流形上周期流的张量型同调方程。将Cushman内蕴公式推广到多向量场和微分形式的情形。给出了快慢相空间上扰动哈密顿系统的规范形和平均方法的一些应用。
英文摘要：
Homological equations of tensor type associated to periodic flows on a manifold are studied. The Cushman intrinsic formula is generalized to the case of multivector fields and differential forms. Some applications to normal forms and the averaging method for perturbed Hamiltonian systems on slow-fast phase spaces are given.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
