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文章基本信息

  • 标题:MORSE INDEX FOR AUTONOMOUS LINEAR HAMILTONIAN SYSTEMS
  • 本地全文:下载
  • 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
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