Splitting of separatrices: perturbation theory and exponential smallness
Splitting of separatrices: perturbation theory and exponential smallness
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DOI：
10.1070/rm2001v056n03abeh000394
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发表时间：
2001-06
影响因子：
0.9
通讯作者：
V. Gelfreich;V. Lazutkin
中科院分区：
文献类型：
--
作者：
V. Gelfreich;V. Lazutkin
本文综述了保面积映射和具有一个半自由度的Hamilton系统的分界线分裂的主要结果。特别注意的问题，其中分界线分裂是指数小的扰动参数。
This is a survey of the main results related to separatrix splitting for area-preserving maps and Hamiltonian systems with one and a half degrees of freedom. Special attention is paid to problems in which the separatrix splitting is exponentially small with respect to the perturbation parameter.