Acta Mathematica Scientia

, Volume 39, Issue 1, pp 111–118 | Cite as

Stability of Subharmonic Solutions of First-Order Hamiltonian Systems with Anisotropic Growth

  • Chungen Liu (刘春根)Email author
  • Xiaofei Zhang (张晓飞)


Using the dual Morse index theory, we study the stability of subharmonic solutions of first-order autonomous Hamiltonian systems with anisotropic growth, that is, we obtain a sequence of elliptic subharmonic solutions (that is, all its Floquet multipliers lying on the unit circle on the complex plane C).

Key words

Hamiltonian system the dual Morse index subharmonic solution stability 

2010 MR Subject Classification

35F60 53D12 58E05 


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Copyright information

© Wuhan Institutes of Physics and Mathematics, Chinese Academy of Sciences 2019

Authors and Affiliations

  • Chungen Liu (刘春根)
    • 1
    Email author
  • Xiaofei Zhang (张晓飞)
    • 2
  1. 1.School of Mathematics and Information ScienceGuangzhou UniversityGuangzhouChina
  2. 2.School of MathematicsNankai UniversityTianjinChina

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