文章基本信息

标题：MORSE INDEX FOR AUTONOMOUS LINEAR HAMILTONIAN SYSTEMS
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作者：Blackmore, D. ; Wang, C.
期刊名称：International Journal of Differential Equations and Applications
印刷版ISSN：1311-2872
出版年度：2003
卷号：7
期号：3
DOI：10.12732/ijdea.v7i3.1258
语种：English
出版社：International Journal of Differential Equations and Applications
摘要：In this paper, we will derive a new formula for the Morse index for the linear Hamiltonian systems:$$ J \dot x+Ax=0, $$where matrix $J$ is the standard symplectic structure matrix of order $2N$ and $A$ is a constant, symmetric positive definite matrix of order $2N$, $N$ is any natural number.
关键词：Morse index, Hamiltonian system;34C15