Maslov P-index theory for a symplectic path with applications

被引：14

作者：

Liu, Chungen ^{[1
]}

机构：

[1] Nankai Univ, Sch Math, Tianjin 300071, Peoples R China

[2] Nankai Univ, LPMC, Tianjin 300071, Peoples R China

来源：

CHINESE ANNALS OF MATHEMATICS SERIES B | 2006年 / 27卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Hamiltonian system; symplectic path; Maslov P-index; non-periodic boundary problem;

D O I：

10.1007/s11401-004-0365-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The Maslov P-index theory for a symplectic path is defined. Various properties of this index theory such as homotopy invariant, symplectic additivity and the relations with other Morse indices are studied. As an application, the non-periodic problem for some asymptotically linear Hamiltonian systems is considered.

引用

页码：441 / 458

页数：18

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